2564534632 has 32 divisors (see below), whose sum is σ = 5297594400. Its totient is φ = 1154152000.

The previous prime is 2564534629. The next prime is 2564534657. The reversal of 2564534632 is 2364354652.

2564534632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135382 + ... + 153157.

It is an arithmetic number, because the mean of its divisors is an integer number (165549825).

Almost surely, 2^2564534632 is an apocalyptic number.

2564534632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2564534632 is an abundant number, since it is smaller than the sum of its proper divisors (2733059768).

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

2564534632 is a wasteful number, since it uses less digits than its factorization.

2564534632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288657 (or 288653 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The square root of 2564534632 is about 50641.2345031201. The cubic root of 2564534632 is about 1368.7880008576.

The spelling of 2564534632 in words is "two billion, five hundred sixty-four million, five hundred thirty-four thousand, six hundred thirty-two".