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2040372096 = 27371744651
BaseRepresentation
bin111100110011101…
…1001101110000000
312021012022122022220
41321213121232000
513134313401341
6534244131040
7101363606460
oct17147315600
95235278286
102040372096
11957811834
1248b396a80
13266941389
14154da7ba0
15be1d9a66
hex799d9b80

2040372096 has 128 divisors (see below), whose sum is σ = 6558485760. Its totient is φ = 548659200.

The previous prime is 2040372023. The next prime is 2040372109. The reversal of 2040372096 is 6902730402.

It is a tau number, because it is divible by the number of its divisors (128).

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, 23371 + ... + 68021.

It is an arithmetic number, because the mean of its divisors is an integer number (51238170).

Almost surely, 22040372096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279242880).

2040372096 is an abundant number, since it is smaller than the sum of its proper divisors (4518113664).

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

2040372096 is a wasteful number, since it uses less digits than its factorization.

2040372096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44692 (or 44680 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2040372096 is about 45170.4781466834. The cubic root of 2040372096 is about 1268.3422469097.

The spelling of 2040372096 in words is "two billion, forty million, three hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 44651 45696 89302 133953 178604 267906 312557 357208 535812 625114 714416 759067 937671 1071624 1250228 1428832 1518134 1875342 2143248 2277201 2500456 2857664 3036268 3750684 4286496 4554402 5000912 5313469 5715328 6072536 7501368 8572992 9108804 10001824 10626938 12145072 15002736 15940407 17145984 18217608 20003648 21253876 24290144 30005472 31880814 36435216 40007296 42507752 48580288 60010944 63761628 72870432 85015504 97160576 120021888 127523256 145740864 170031008 255046512 291481728 340062016 510093024 680124032 1020186048 2040372096