2564765760 has 56 divisors (see below), whose sum is σ = 8143134336. Its totient is φ = 683937280.

The previous prime is 2564765759. The next prime is 2564765761. The reversal of 2564765760 is 675674652.

It is an interprime number because it is at equal distance from previous prime (2564765759) and next prime (2564765761).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2564765761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1334856 + ... + 1336775.

Almost surely, 2^2564765760 is an apocalyptic number.

2564765760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564765760 is an abundant number, since it is smaller than the sum of its proper divisors (5578368576).

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

2564765760 is a wasteful number, since it uses less digits than its factorization.

2564765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671651 (or 2671641 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 2564765760 is about 50643.5164655852. The cubic root of 2564765760 is about 1368.8291201736.

The spelling of 2564765760 in words is "two billion, five hundred sixty-four million, seven hundred sixty-five thousand, seven hundred sixty".