2431253664 has 96 divisors (see below), whose sum is σ = 8104199040. Its totient is φ = 694642176.

The previous prime is 2431253659. The next prime is 2431253701. The reversal of 2431253664 is 4663521342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194949 + ... + 207044.

It is an arithmetic number, because the mean of its divisors is an integer number (84418740).

Almost surely, 2^2431253664 is an apocalyptic number.

2431253664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2431253664 is an abundant number, since it is smaller than the sum of its proper divisors (5672945376).

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

2431253664 is a wasteful number, since it uses less digits than its factorization.

2431253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402019 (or 402005 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2431253664 is about 49307.7444627109. The cubic root of 2431253664 is about 1344.6525848691.

The spelling of 2431253664 in words is "two billion, four hundred thirty-one million, two hundred fifty-three thousand, six hundred sixty-four".