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2072689344 = 263311223431
BaseRepresentation
bin111101110001010…
…1011101011000000
312100110010112021000
41323202223223000
513221102024334
6541400532000
7102235366035
oct17342535300
95313115230
102072689344
11973a85200
1249a181000
13270547ccb
141593bb38c
15c1e70299
hex7b8abac0

2072689344 has 336 divisors, whose sum is σ = 7005035520. Its totient is φ = 599385600.

The previous prime is 2072689313. The next prime is 2072689349. The reversal of 2072689344 is 4439862702.

2072689344 is a `hidden beast` number, since 207 + 26 + 89 + 344 = 666.

It is a super-2 number, since 2×20726893442 = 8592082233462300672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2072689344.

It is not an unprimeable number, because it can be changed into a prime (2072689349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4808809 + ... + 4809239.

It is an arithmetic number, because the mean of its divisors is an integer number (20848320).

Almost surely, 22072689344 is an apocalyptic number.

2072689344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502517760).

2072689344 is an abundant number, since it is smaller than the sum of its proper divisors (4932346176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2072689344 is a wasteful number, since it uses less digits than its factorization.

2072689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2072689344 is about 45526.7980864018. The cubic root of 2072689344 is about 1275.0035819969.

It can be divided in two parts, 207268 and 9344, that added together give a palindrome (216612).

The spelling of 2072689344 in words is "two billion, seventy-two million, six hundred eighty-nine thousand, three hundred forty-four".