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2142666080 = 25547499571
BaseRepresentation
bin111111110110110…
…0111110101100000
312112022210201021222
41333231213311200
513342010303310
6552340434212
7104045234612
oct17755476540
95468721258
102142666080
119aa52a815
124b96a8968
13281ba9069
141647d4db2
15c8194055
hex7fb67d60

2142666080 has 96 divisors (see below), whose sum is σ = 5189184000. Its totient is φ = 835683840.

The previous prime is 2142666079. The next prime is 2142666137. The reversal of 2142666080 is 806662412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142666080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3752195 + ... + 3752765.

It is an arithmetic number, because the mean of its divisors is an integer number (54054000).

Almost surely, 22142666080 is an apocalyptic number.

2142666080 is a gapful number since it is divisible by the number (20) 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 2142666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

2142666080 is an abundant number, since it is smaller than the sum of its proper divisors (3046517920).

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

2142666080 is a wasteful number, since it uses less digits than its factorization.

2142666080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2142666080 is about 46288.9412279002. The cubic root of 2142666080 is about 1289.1936711297.

The spelling of 2142666080 in words is "two billion, one hundred forty-two million, six hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 499 571 752 940 998 1142 1504 1880 1996 2284 2495 2855 3760 3992 4568 4990 5710 7520 7984 9136 9980 11420 15968 18272 19960 22840 23453 26837 39920 45680 46906 53674 79840 91360 93812 107348 117265 134185 187624 214696 234530 268370 284929 375248 429392 469060 536740 569858 750496 858784 938120 1073480 1139716 1424645 1876240 2146960 2279432 2849290 3752480 4293920 4558864 5698580 9117728 11397160 13391663 22794320 26783326 45588640 53566652 66958315 107133304 133916630 214266608 267833260 428533216 535666520 1071333040 2142666080