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2080889352 = 2334171091733
BaseRepresentation
bin111110000000111…
…1101101000001000
312101000120010120000
41330001331220020
513230201424402
6542252403000
7102365160543
oct17401755010
95330503500
102080889352
11978675a73
124a0a76460
13272159499
1415a51385a
15c2a3ec1c
hex7c07da08

2080889352 has 160 divisors (see below), whose sum is σ = 6231475800. Its totient is φ = 646465536.

The previous prime is 2080889351. The next prime is 2080889429. The reversal of 2080889352 is 2539880802.

It can be written as a sum of positive squares in 4 ways, for example, as 2020142916 + 60746436 = 44946^2 + 7794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2080889298 and 2080889307.

It is not an unprimeable number, because it can be changed into a prime (2080889351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1199878 + ... + 1201610.

Almost surely, 22080889352 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 2080889352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115737900).

2080889352 is an abundant number, since it is smaller than the sum of its proper divisors (4150586448).

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

2080889352 is a wasteful number, since it uses less digits than its factorization.

2080889352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2080889352 is about 45616.7661282560. The cubic root of 2080889352 is about 1276.6827663151.

The spelling of 2080889352 in words is "two billion, eighty million, eight hundred eighty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 109 136 153 162 204 216 218 306 324 327 408 436 459 612 648 654 872 918 981 1224 1308 1377 1733 1836 1853 1962 2616 2754 2943 3466 3672 3706 3924 5199 5508 5559 5886 6932 7412 7848 8829 10398 11016 11118 11772 13864 14824 15597 16677 17658 20796 22236 23544 29461 31194 33354 35316 41592 44472 46791 50031 58922 62388 66708 70632 88383 93582 100062 117844 124776 133416 140373 150093 176766 187164 188897 200124 235688 265149 280746 300186 353532 374328 377794 400248 530298 561492 566691 600372 707064 755588 795447 1060596 1122984 1133382 1200744 1511176 1590894 1700073 2121192 2266764 2386341 3181788 3211249 3400146 4533528 4772682 5100219 6363576 6422498 6800292 9545364 9633747 10200438 12844996 13600584 15300657 19090728 19267494 20400876 25689992 28901241 30601314 38534988 40801752 57802482 61202628 77069976 86703723 115604964 122405256 173407446 231209928 260111169 346814892 520222338 693629784 1040444676 2080889352