2564360 has 16 divisors (see below), whose sum is σ = 5769900. Its totient is φ = 1025728.

The previous prime is 2564347. The next prime is 2564363. The reversal of 2564360 is 634652.

It can be written as a sum of positive squares in 2 ways, for example, as 2365444 + 198916 = 1538^2 + 446^2 .

It is not an unprimeable number, because it can be changed into a prime (2564363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32015 + ... + 32094.

2^2564360 is an apocalyptic number.

2564360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564360 is an abundant number, since it is smaller than the sum of its proper divisors (3205540).

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

2564360 is a wasteful number, since it uses less digits than its factorization.

2564360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64120 (or 64116 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2564360 is about 1601.3619203665. The cubic root of 2564360 is about 136.8756930944.

The spelling of 2564360 in words is "two million, five hundred sixty-four thousand, three hundred sixty".