2564514560 has 72 divisors (see below), whose sum is σ = 6152480880. Its totient is φ = 1024192512.

The previous prime is 2564514541. The next prime is 2564514571. The reversal of 2564514560 is 654154652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129106 + ... + 1131374.

Almost surely, 2^2564514560 is an apocalyptic number.

2564514560 is a gapful number since it is divisible by the number (20) 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 2564514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076240440).

2564514560 is an abundant number, since it is smaller than the sum of its proper divisors (3587966320).

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

2564514560 is an equidigital number, since it uses as much as digits as its factorization.

2564514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 2564514560 is about 50641.0363243092. The cubic root of 2564514560 is about 1368.7844297894.

The spelling of 2564514560 in words is "two billion, five hundred sixty-four million, five hundred fourteen thousand, five hundred sixty".