2564909312 has 108 divisors (see below), whose sum is σ = 6039425196. Its totient is φ = 1083801600.

The previous prime is 2564909311. The next prime is 2564909317. The reversal of 2564909312 is 2139094652.

It can be written as a sum of positive squares in 2 ways, for example, as 1382649856 + 1182259456 = 37184^2 + 34384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2564909312.

It is not an unprimeable number, because it can be changed into a prime (2564909311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914312 + ... + 917112.

Almost surely, 2^2564909312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019712598).

2564909312 is an abundant number, since it is smaller than the sum of its proper divisors (3474515884).

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

2564909312 is an equidigital number, since it uses as much as digits as its factorization.

2564909312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 2564909312 is about 50644.9337249048. The cubic root of 2564909312 is about 1368.8546578523.

The spelling of 2564909312 in words is "two billion, five hundred sixty-four million, nine hundred nine thousand, three hundred twelve".