2656002560 has 80 divisors (see below), whose sum is σ = 6415511256. Its totient is φ = 1054507008.

The previous prime is 2656002551. The next prime is 2656002611. The reversal of 2656002560 is 652006562.

It can be written as a sum of positive squares in 4 ways, for example, as 2649366784 + 6635776 = 51472^2 + 2576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346934 + ... + 354506.

Almost surely, 2^2656002560 is an apocalyptic number.

2656002560 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 2656002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207755628).

2656002560 is an abundant number, since it is smaller than the sum of its proper divisors (3759508696).

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

2656002560 is an equidigital number, since it uses as much as digits as its factorization.

2656002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2656002560 is about 51536.4197437113. The cubic root of 2656002560 is about 1384.8715594638.

It can be divided in two parts, 2656002 and 560, that added together give a palindrome (2656562).

The spelling of 2656002560 in words is "two billion, six hundred fifty-six million, two thousand, five hundred sixty".