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2492261880 = 2335177117207
BaseRepresentation
bin1001010010001100…
…1110010111111000
320102200122000120120
42110203032113320
520101004340010
61051145453240
7115521606423
oct22443162770
96380560516
102492261880
1110698a9269
125967a1220
13309450294
14198dd89ba
15e8bece70
hex948ce5f8

2492261880 has 128 divisors (see below), whose sum is σ = 8028564480. Its totient is φ = 616663040.

The previous prime is 2492261867. The next prime is 2492261881. The reversal of 2492261880 is 881622942.

2492261880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24922618802 = 12422738557002268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492261881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136237 + ... + 153443.

It is an arithmetic number, because the mean of its divisors is an integer number (62723160).

Almost surely, 22492261880 is an apocalyptic number.

2492261880 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 2492261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014282240).

2492261880 is an abundant number, since it is smaller than the sum of its proper divisors (5536302600).

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

2492261880 is a wasteful number, since it uses less digits than its factorization.

2492261880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17309 (or 17305 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2492261880 is about 49922.5588286498. The cubic root of 2492261880 is about 1355.8070617669.

The spelling of 2492261880 in words is "two billion, four hundred ninety-two million, two hundred sixty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 71 85 102 120 136 142 170 204 213 255 284 340 355 408 426 510 568 680 710 852 1020 1065 1207 1420 1704 2040 2130 2414 2840 3621 4260 4828 6035 7242 8520 9656 12070 14484 17207 18105 24140 28968 34414 36210 48280 51621 68828 72420 86035 103242 137656 144840 172070 206484 258105 292519 344140 412968 516210 585038 688280 877557 1032420 1170076 1221697 1462595 1755114 2064840 2340152 2443394 2925190 3510228 3665091 4387785 4886788 5850380 6108485 7020456 7330182 8775570 9773576 11700760 12216970 14660364 17551140 18325455 20768849 24433940 29320728 35102280 36650910 41537698 48867880 62306547 73301820 83075396 103844245 124613094 146603640 166150792 207688490 249226188 311532735 415376980 498452376 623065470 830753960 1246130940 2492261880