2531655264 has 96 divisors (see below), whose sum is σ = 6947506944. Its totient is φ = 805685760.

The previous prime is 2531655263. The next prime is 2531655271. The reversal of 2531655264 is 4625561352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531655263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2253807 + ... + 2254929.

It is an arithmetic number, because the mean of its divisors is an integer number (72369864).

Almost surely, 2^2531655264 is an apocalyptic number.

2531655264 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 2531655264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473753472).

2531655264 is an abundant number, since it is smaller than the sum of its proper divisors (4415851680).

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

2531655264 is a wasteful number, since it uses less digits than its factorization.

2531655264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 2531655264 is about 50315.5568785639. The cubic root of 2531655264 is about 1362.9131729463.

The spelling of 2531655264 in words is "two billion, five hundred thirty-one million, six hundred fifty-five thousand, two hundred sixty-four".