2563604160 has 112 divisors (see below), whose sum is σ = 8765596896. Its totient is φ = 631037952.

The previous prime is 2563604137. The next prime is 2563604201. The reversal of 2563604160 is 614063652.

2563604160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 90229 + ... + 115188.

It is an arithmetic number, because the mean of its divisors is an integer number (78264258).

Almost surely, 2^2563604160 is an apocalyptic number.

2563604160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563604160 is an abundant number, since it is smaller than the sum of its proper divisors (6201992736).

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

2563604160 is a wasteful number, since it uses less digits than its factorization.

2563604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205450 (or 205440 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2563604160 is about 50632.0467688202. The cubic root of 2563604160 is about 1368.6224382696.

The spelling of 2563604160 in words is "two billion, five hundred sixty-three million, six hundred four thousand, one hundred sixty".