2534868864 has 256 divisors, whose sum is σ = 8239968000. Its totient is φ = 760780800.

The previous prime is 2534868851. The next prime is 2534868901. The reversal of 2534868864 is 4688684352.

2534868864 is a `hidden beast` number, since 25 + 3 + 486 + 88 + 64 = 666.

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 2534868864.

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, 4979842 + ... + 4980350.

It is an arithmetic number, because the mean of its divisors is an integer number (32187375).

Almost surely, 2^2534868864 is an apocalyptic number.

2534868864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119984000).

2534868864 is an abundant number, since it is smaller than the sum of its proper divisors (5705099136).

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

2534868864 is a wasteful number, since it uses less digits than its factorization.

2534868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 656 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 2534868864 is about 50347.4812081002. The cubic root of 2534868864 is about 1363.4896081776.

The spelling of 2534868864 in words is "two billion, five hundred thirty-four million, eight hundred sixty-eight thousand, eight hundred sixty-four".