2564206568 has 64 divisors (see below), whose sum is σ = 6107425920. Its totient is φ = 980179200.

The previous prime is 2564206499. The next prime is 2564206637. The reversal of 2564206568 is 8656024652.

It is an interprime number because it is at equal distance from previous prime (2564206499) and next prime (2564206637).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6623 + ... + 71918.

It is an arithmetic number, because the mean of its divisors is an integer number (95428530).

Almost surely, 2^2564206568 is an apocalyptic number.

2564206568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2564206568 is an abundant number, since it is smaller than the sum of its proper divisors (3543219352).

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

2564206568 is a wasteful number, since it uses less digits than its factorization.

2564206568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78618 (or 78614 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The square root of 2564206568 is about 50637.9952999721. The cubic root of 2564206568 is about 1368.7296316951.

The spelling of 2564206568 in words is "two billion, five hundred sixty-four million, two hundred six thousand, five hundred sixty-eight".