2564312160 has 48 divisors (see below), whose sum is σ = 8077584816. Its totient is φ = 683816448.

The previous prime is 2564312123. The next prime is 2564312173. The reversal of 2564312160 is 612134652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2670679 + ... + 2671638.

It is an arithmetic number, because the mean of its divisors is an integer number (168283017).

Almost surely, 2^2564312160 is an apocalyptic number.

2564312160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564312160 is an abundant number, since it is smaller than the sum of its proper divisors (5513272656).

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

2564312160 is a wasteful number, since it uses less digits than its factorization.

2564312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342335 (or 5342327 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2564312160 is about 50639.0379055527. The cubic root of 2564312160 is about 1368.7484191721.

The spelling of 2564312160 in words is "two billion, five hundred sixty-four million, three hundred twelve thousand, one hundred sixty".