252024654624 has 48 divisors (see below), whose sum is σ = 679444855488. Its totient is φ = 81737724672.

The previous prime is 252024654601. The next prime is 252024654643. The reversal of 252024654624 is 426456420252.

252024654624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35472892 + ... + 35479995.

It is an arithmetic number, because the mean of its divisors is an integer number (14155101156).

Almost surely, 2^252024654624 is an apocalyptic number.

252024654624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252024654624 is an abundant number, since it is smaller than the sum of its proper divisors (427420200864).

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

252024654624 is a wasteful number, since it uses less digits than its factorization.

252024654624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70952937 (or 70952929 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 252024654624 in words is "two hundred fifty-two billion, twenty-four million, six hundred fifty-four thousand, six hundred twenty-four".