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2540402568 = 2333111069193
BaseRepresentation
bin1001011101101011…
…0111011110001000
320120001012211012000
42113122313132020
520200320340233
61100025351000
7116645031324
oct22732673610
96501184160
102540402568
111093a9a060
125aa938460
133164072b2
141a156a984
15ed05bd13
hex976b7788

2540402568 has 64 divisors (see below), whose sum is σ = 7698196800. Its totient is φ = 769818240.

The previous prime is 2540402563. The next prime is 2540402597. The reversal of 2540402568 is 8652040452.

It is a happy number.

2540402568 is a `hidden beast` number, since 2 + 54 + 0 + 40 + 2 + 568 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2540402563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532221 + ... + 536972.

It is an arithmetic number, because the mean of its divisors is an integer number (120284325).

Almost surely, 22540402568 is an apocalyptic number.

It is an amenable number.

2540402568 is an abundant number, since it is smaller than the sum of its proper divisors (5157794232).

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

2540402568 is a wasteful number, since it uses less digits than its factorization.

2540402568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069219 (or 1069209 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2540402568 is about 50402.4063711248. The cubic root of 2540402568 is about 1364.4810682905.

The spelling of 2540402568 in words is "two billion, five hundred forty million, four hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 1069193 2138386 3207579 4276772 6415158 8553544 9622737 11761123 12830316 19245474 23522246 25660632 28868211 35283369 38490948 47044492 57736422 70566738 76981896 94088984 105850107 115472844 141133476 211700214 230945688 282266952 317550321 423400428 635100642 846800856 1270201284 2540402568