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2494630944 = 253213666301
BaseRepresentation
bin1001010010110001…
…0000110000100000
320102212002101022200
42110230100300200
520102111142234
61051312333200
7115551004341
oct22454206040
96385071280
102494630944
111070177173
12597544200
13309a9c6b0
141994540c8
15e9019d99
hex94b10c20

2494630944 has 72 divisors (see below), whose sum is σ = 7639818732. Its totient is φ = 767577600.

The previous prime is 2494630913. The next prime is 2494630961. The reversal of 2494630944 is 4490364942.

2494630944 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 630 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2481235344 + 13395600 = 49812^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×24946309442 = 12446367093524662272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2494630944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329407 + ... + 336894.

Almost surely, 22494630944 is an apocalyptic number.

2494630944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2494630944 is an abundant number, since it is smaller than the sum of its proper divisors (5145187788).

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

2494630944 is a wasteful number, since it uses less digits than its factorization.

2494630944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666330 (or 666319 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2494630944 is about 49946.2805822416. The cubic root of 2494630944 is about 1356.2365212504.

The spelling of 2494630944 in words is "two billion, four hundred ninety-four million, six hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 666301 1332602 1998903 2665204 3997806 5330408 5996709 7995612 8661913 10660816 11993418 15991224 17323826 21321632 23986836 25985739 31982448 34647652 47973672 51971478 63964896 69295304 77957217 95947344 103942956 138590608 155914434 191894688 207885912 277181216 311828868 415771824 623657736 831543648 1247315472 2494630944