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2542030632 = 2332269131249
BaseRepresentation
bin1001011110000100…
…0100111100101000
320120011021112110200
42113201010330220
520201224440012
61100124312200
7116664622011
oct22741047450
96504245420
102542030632
111094a01269
125ab3a2660
1331685734b
141a1872008
15ed27e3dc
hex97844f28

2542030632 has 48 divisors (see below), whose sum is σ = 6910312500. Its totient is φ = 844187136.

The previous prime is 2542030619. The next prime is 2542030639. The reversal of 2542030632 is 2360302452.

2542030632 is a `hidden beast` number, since 2 + 5 + 4 + 20 + 3 + 0 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2345077476 + 196953156 = 48426^2 + 14034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2542030596 and 2542030605.

It is not an unprimeable number, because it can be changed into a prime (2542030639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46257 + ... + 84992.

Almost surely, 22542030632 is an apocalyptic number.

It is an amenable number.

2542030632 is an abundant number, since it is smaller than the sum of its proper divisors (4368281868).

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

2542030632 is a wasteful number, since it uses less digits than its factorization.

2542030632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131530 (or 131523 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2542030632 is about 50418.5544417926. The cubic root of 2542030632 is about 1364.7724903598.

The spelling of 2542030632 in words is "two billion, five hundred forty-two million, thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 1076 1614 2152 2421 3228 4842 6456 9684 19368 131249 262498 393747 524996 787494 1049992 1181241 1574988 2362482 3149976 4724964 9449928 35305981 70611962 105917943 141223924 211835886 282447848 317753829 423671772 635507658 847343544 1271015316 2542030632