2564440992 has 192 divisors, whose sum is σ = 7770349440. Its totient is φ = 822140928.

The previous prime is 2564440979. The next prime is 2564441053. The reversal of 2564440992 is 2990444652.

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 31 ways as a sum of consecutive naturals, for example, 3100483 + ... + 3101309.

It is an arithmetic number, because the mean of its divisors is an integer number (40470570).

Almost surely, 2^2564440992 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 2564440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885174720).

2564440992 is an abundant number, since it is smaller than the sum of its proper divisors (5205908448).

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

2564440992 is a wasteful number, since it uses less digits than its factorization.

2564440992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2564440992 is about 50640.3099516581. The cubic root of 2564440992 is about 1368.7713409320.

It can be divided in two parts, 2564 and 440992, that added together give a square (443556 = 666²).

The spelling of 2564440992 in words is "two billion, five hundred sixty-four million, four hundred forty thousand, nine hundred ninety-two".