2656808640 has 336 divisors, whose sum is σ = 9662342880. Its totient is φ = 687052800.

The previous prime is 2656808633. The next prime is 2656808641. The reversal of 2656808640 is 468086562.

2656808640 is a `hidden beast` number, since 2 + 6 + 568 + 0 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656808641) by changing a digit.

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, 37419805 + ... + 37419875.

Almost surely, 2^2656808640 is an apocalyptic number.

2656808640 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 2656808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831171440).

2656808640 is an abundant number, since it is smaller than the sum of its proper divisors (7005534240).

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

2656808640 is an equidigital number, since it uses as much as digits as its factorization.

2656808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2656808640 is about 51544.2396393622. The cubic root of 2656808640 is about 1385.0116452165.

The spelling of 2656808640 in words is "two billion, six hundred fifty-six million, eight hundred eight thousand, six hundred forty".