2564512210 has 64 divisors (see below), whose sum is σ = 5053920480. Its totient is φ = 931276800.

The previous prime is 2564512187. The next prime is 2564512229. The reversal of 2564512210 is 122154652.

It can be written as a sum of positive squares in 16 ways, for example, as 416282409 + 2148229801 = 20403^2 + 46349^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270926 + ... + 2272054.

Almost surely, 2^2564512210 is an apocalyptic number.

2564512210 is a deficient number, since it is larger than the sum of its proper divisors (2489408270).

2564512210 is a wasteful number, since it uses less digits than its factorization.

2564512210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2564512210 is about 50641.0131217771. The cubic root of 2564512210 is about 1368.7840116928.

Adding to 2564512210 its reverse (122154652), we get a palindrome (2686666862).

The spelling of 2564512210 in words is "two billion, five hundred sixty-four million, five hundred twelve thousand, two hundred ten".