2457972864 has 80 divisors (see below), whose sum is σ = 7314918270. Its totient is φ = 819320832.

The previous prime is 2457972799. The next prime is 2457972877. The reversal of 2457972864 is 4682797542.

2457972864 is a `hidden beast` number, since 2 + 4 + 579 + 7 + 2 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2025000000 + 432972864 = 45000^2 + 20808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2457972864.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 108169 + ... + 128904.

Almost surely, 2^2457972864 is an apocalyptic number.

2457972864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2457972864 is an abundant number, since it is smaller than the sum of its proper divisors (4856945406).

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

2457972864 is an equidigital number, since it uses as much as digits as its factorization.

2457972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237099 (or 237078 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2457972864 is about 49577.9473556540. The cubic root of 2457972864 is about 1349.5605087914.

The spelling of 2457972864 in words is "two billion, four hundred fifty-seven million, nine hundred seventy-two thousand, eight hundred sixty-four".