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2492715540 = 2235741144757
BaseRepresentation
bin1001010010010011…
…1101001000010100
320102201111001212210
42110210331020110
520101113344130
61051203313420
7115525506150
oct22444751024
96381431783
102492715540
11106a089097
1259697b870
1330957b913
141990b6060
15e8c8c5b0
hex9493d214

2492715540 has 96 divisors (see below), whose sum is σ = 8171299584. Its totient is φ = 555863040.

The previous prime is 2492715539. The next prime is 2492715569. The reversal of 2492715540 is 455172942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55159 + ... + 89598.

It is an arithmetic number, because the mean of its divisors is an integer number (85117704).

Almost surely, 22492715540 is an apocalyptic number.

2492715540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2492715540 is an abundant number, since it is smaller than the sum of its proper divisors (5678584044).

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

2492715540 is a wasteful number, since it uses less digits than its factorization.

2492715540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144817 (or 144815 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2492715540 is about 49927.1022591939. The cubic root of 2492715540 is about 1355.8893214631.

The spelling of 2492715540 in words is "two billion, four hundred ninety-two million, seven hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 144757 289514 434271 579028 723785 868542 1013299 1447570 1737084 2026598 2171355 2895140 3039897 4053196 4342710 5066495 5935037 6079794 8685420 10132990 11870074 12159588 15199485 17805111 20265980 23740148 29675185 30398970 35610222 41545259 59350370 60797940 71220444 83090518 89025555 118700740 124635777 166181036 178051110 207726295 249271554 356102220 415452590 498543108 623178885 830905180 1246357770 2492715540