A number 
is called eban if its name (in English)
does not contain the letter "e".
It is easy to see that the eban numbers are all even and their last two digits must be one of 02, 04, 06, 30, 32, 34, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62, 64, or 66.
Eban numbers belong to the same family of aban numbers, iban numbers, oban numbers, and uban numbers. All quite boring, if I may speak my mind...
As for the above sets, the definition is not really precise, since large numbers may have non-standard names.
The first eban numbers are 2, 4, 6, 30, 32, 34, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62, 64, 66, 2000, 2002 more terms
Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
A graph displaying how many eban numbers are multiples of the primes p from 2 to 71. In black the ideal line 1/p.
Eban numbers can also be... (you may click on names or numbers and on + to get more values)
ABA
32
50
64
+
6000000000000
aban
30
32
34
+
66066000066
abundant
30
36
40
+
50000000
Achilles
2000
4000
32000
+
50000000000000
admirable
30
40
42
+
66064062
alternating
30
32
34
+
56
amenable
32
36
40
+
66066064
apocalyptic
2000
2002
2004
+
30000
arithmetic
30
42
44
+
6066066
Bell
52
binomial
36
56
66
+
40002040
c.nonagonal
36046
40002040
32064036004000
c.pentagonal
40006
50056
40030006
+
40000030000006
c.triangular
46
64
30034
cake
42
64
Catalan
42
congruent
30
34
46
+
6066064
constructible
30
32
34
+
2056
cube
64
64000
64000000
+
64000000000000
Cunningham
50
32040
32042
+
32042064046042
Curzon
30
50
54
+
66064046
d-powerful
2062
2064
32052
+
4052036
decagonal
52
4000
30066030
deficient
32
34
44
+
6066064
dig.balanced
42
44
50
+
66066062
Duffinian
32
36
50
+
4032064
economical
32
64
2000
+
6064000
emirpimes
62
2042
2062
+
66056066
equidigital
32
64
2000
+
6064000
esthetic
32
34
54
56
Eulerian
66
2036
evil
30
34
36
+
66066066
fibodiv
52040
Fibonacci
34
Friedman
64036
frugal
32000
40000
50000
+
66000000
gapful
2000
2002
2040
+
66066066066
Giuga
30
happy
32
44
2030
+
6066050
Harshad
30
36
40
+
6066066060
heptagonal
34
46036
hexagonal
66
46056
66066
highly composite
36
60
hoax
2064
4054
6054
+
66066032
house
32
iban
40
42
44
+
44044
idoneal
30
40
42
60
impolite
32
64
inconsummate
62
2042
2046
+
66062
interprime
30
34
42
+
66064046
Jordan-Polya
32
36
64
junction
2002
2004
2006
+
66066036
katadrome
30
32
40
+
64
Leyland
32
54
Lynch-Bell
36
magic
34
2056
32000002000
magnanimous
30
32
34
+
56
metadrome
34
36
46
56
modest
46
2006
2030
+
66066066
Moran
42
4044
6062
+
66002060
nialpdrome
30
32
40
+
66000000000000
nonagonal
46
34056
46000
4042000
nude
36
44
66
O'Halloran
36
44
60
oban
30
36
50
+
66
octagonal
40
odious
32
42
44
+
66066064
palindromic
44
66
2002
+
66066066066066
pancake
46
56
4006
+
6030064000066
panconsummate
34
36
40
54
pandigital
2054
30040
30050
+
66060044
partition
30
42
56
pentagonal
4030
pernicious
34
36
40
+
6066064
plaindrome
34
36
44
+
66
power
32
36
64
+
36000000000000
powerful
32
36
64
+
64032004000000
practical
30
32
36
+
6066060
prim.abundant
30
42
56
+
66064062
primorial
30
30030
pronic
30
42
56
+
64000040000006
pseudoperfect
30
36
40
+
66066
repdigit
44
66
repunit
40
52060
Ruth-Aaron
50
Saint-Exupery
60
2040
60000
+
60000000000000
self
42
64
2044
+
66066066
semiprime
34
46
62
+
66064034
sliding
52
2000
2050
+
52000000000000
Smith
4054
6036
6054
+
66036036
sphenic
30
42
66
+
66066062
square
36
64
40000
+
64032004000000
subfactorial
44
super Niven
30
36
40
+
46006002000
super-d
2046
4056
30036
+
6066054
superabundant
36
60
tau
36
40
56
+
66064044
tetrahedral
56
4060
6044060
tetranacci
56
triangular
36
66
36046
+
32064036004000
tribonacci
44
uban
30
32
36
+
66066066000066
Ulam
36
62
2032
+
6066046
undulating
4040
6060
unprimeable
2040
2042
2044
+
6066056
untouchable
52
2036
2050
+
66066
upside-down
46
64
wasteful
30
34
36
+
6066066
weird
4030
Zuckerman
36
Zumkeller
30
40
42
+
66066
zygodrome
44
66
44000
+
66000066000066