2564571456 has 168 divisors, whose sum is σ = 7701954624. Its totient is φ = 846028800.

The previous prime is 2564571439. The next prime is 2564571463. The reversal of 2564571456 is 6541754652.

2564571456 is a `hidden beast` number, since 2 + 56 + 457 + 145 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1601056 + ... + 1602656.

It is an arithmetic number, because the mean of its divisors is an integer number (45844968).

Almost surely, 2^2564571456 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 2564571456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850977312).

2564571456 is an abundant number, since it is smaller than the sum of its proper divisors (5137383168).

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

2564571456 is a wasteful number, since it uses less digits than its factorization.

2564571456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1709 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2564571456 is about 50641.5980790496. The cubic root of 2564571456 is about 1368.7945522747.

The spelling of 2564571456 in words is "two billion, five hundred sixty-four million, five hundred seventy-one thousand, four hundred fifty-six".