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2090598984 = 23352346757
BaseRepresentation
bin111110010011100…
…0000001001001000
312101200211102200000
41330213000021020
513240143131414
6543240443000
7102543540525
oct17447001110
95350742600
102090598984
119830a7a61
124a4179460
13274178b26
1415b92014c
15c380bb09
hex7c9c0248

2090598984 has 96 divisors (see below), whose sum is σ = 6127168320. Its totient is φ = 666553536.

The previous prime is 2090598973. The next prime is 2090598997. The reversal of 2090598984 is 4898950902.

It is a super-2 number, since 2×20905989842 = 8741208223803664512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2090598984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21334 + ... + 68090.

It is an arithmetic number, because the mean of its divisors is an integer number (63824670).

Almost surely, 22090598984 is an apocalyptic number.

2090598984 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 2090598984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063584160).

2090598984 is an abundant number, since it is smaller than the sum of its proper divisors (4036569336).

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

2090598984 is a wasteful number, since it uses less digits than its factorization.

2090598984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46801 (or 46785 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2090598984 is about 45723.0684009724. The cubic root of 2090598984 is about 1278.6653944247.

The spelling of 2090598984 in words is "two billion, ninety million, five hundred ninety-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4968 5589 7452 11178 14904 22356 44712 46757 93514 140271 187028 280542 374056 420813 561084 841626 1075411 1122168 1262439 1683252 2150822 2524878 3226233 3366504 3787317 4301644 5049756 6452466 7574634 8603288 9678699 10099512 11361951 12904932 15149268 19357398 22723902 25809864 29036097 30298536 38714796 45447804 58072194 77429592 87108291 90895608 116144388 174216582 232288776 261324873 348433164 522649746 696866328 1045299492 2090598984