2564340570 has 96 divisors (see below), whose sum is σ = 7392812544. Its totient is φ = 611452800.

The previous prime is 2564340563. The next prime is 2564340593. The reversal of 2564340570 is 750434652.

2564340570 is a `hidden beast` number, since 2 + 5 + 6 + 43 + 40 + 570 = 666.

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 47 ways as a sum of consecutive naturals, for example, 39159 + ... + 81621.

It is an arithmetic number, because the mean of its divisors is an integer number (77008464).

Almost surely, 2^2564340570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564340570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696406272).

2564340570 is an abundant number, since it is smaller than the sum of its proper divisors (4828471974).

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

2564340570 is a wasteful number, since it uses less digits than its factorization.

2564340570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42548 (or 42545 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2564340570 is about 50639.3184195838. The cubic root of 2564340570 is about 1368.7534739388.

The spelling of 2564340570 in words is "two billion, five hundred sixty-four million, three hundred forty thousand, five hundred seventy".