2564350992 has 240 divisors, whose sum is σ = 8732655360. Its totient is φ = 685744128.

The previous prime is 2564350927. The next prime is 2564351003. The reversal of 2564350992 is 2990534652.

2564350992 is a `hidden beast` number, since 2 + 56 + 4 + 3 + 509 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4506484 + ... + 4507052.

It is an arithmetic number, because the mean of its divisors is an integer number (36386064).

Almost surely, 2^2564350992 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 2564350992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366327680).

2564350992 is an abundant number, since it is smaller than the sum of its proper divisors (6168304368).

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

2564350992 is a wasteful number, since it uses less digits than its factorization.

2564350992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2564350992 is about 50639.4213237079. The cubic root of 2564350992 is about 1368.7553282335.

The spelling of 2564350992 in words is "two billion, five hundred sixty-four million, three hundred fifty thousand, nine hundred ninety-two".