2538231264 has 72 divisors (see below), whose sum is σ = 7467019560. Its totient is φ = 816899328.

The previous prime is 2538231233. The next prime is 2538231307. The reversal of 2538231264 is 4621328352.

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

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

It is a congruent number.

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, 143602 + ... + 160305.

It is an arithmetic number, because the mean of its divisors is an integer number (103708605).

Almost surely, 2^2538231264 is an apocalyptic number.

2538231264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2538231264 is an abundant number, since it is smaller than the sum of its proper divisors (4928788296).

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

2538231264 is a wasteful number, since it uses less digits than its factorization.

2538231264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303952 (or 303941 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2538231264 is about 50380.8620807544. The cubic root of 2538231264 is about 1364.0922129017.

The spelling of 2538231264 in words is "two billion, five hundred thirty-eight million, two hundred thirty-one thousand, two hundred sixty-four".