2564368620 has 192 divisors, whose sum is σ = 8104513536. Its totient is φ = 600376320.

The previous prime is 2564368591. The next prime is 2564368637. The reversal of 2564368620 is 268634652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4224357 + ... + 4224963.

It is an arithmetic number, because the mean of its divisors is an integer number (42211008).

Almost surely, 2^2564368620 is an apocalyptic number.

2564368620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564368620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052256768).

2564368620 is an abundant number, since it is smaller than the sum of its proper divisors (5540144916).

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

2564368620 is a wasteful number, since it uses less digits than its factorization.

2564368620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 2564368620 is about 50639.5953775304. The cubic root of 2564368620 is about 1368.7584646169.

The spelling of 2564368620 in words is "two billion, five hundred sixty-four million, three hundred sixty-eight thousand, six hundred twenty".