2656636249344 has 288 divisors, whose sum is σ = 9053458262016. Its totient is φ = 671385231360.

The previous prime is 2656636249313. The next prime is 2656636249429. The reversal of 2656636249344 is 4439426366562.

It is a super-2 number, since 2×2656636249344² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1580949 + ... + 2795115.

Almost surely, 2^{2656636249344} is an apocalyptic number.

2656636249344 is a gapful number since it is divisible by the number (24) 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 2656636249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526729131008).

2656636249344 is an abundant number, since it is smaller than the sum of its proper divisors (6396822012672).

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

2656636249344 is a wasteful number, since it uses less digits than its factorization.

2656636249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214241 (or 1214227 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 60.

The spelling of 2656636249344 in words is "two trillion, six hundred fifty-six billion, six hundred thirty-six million, two hundred forty-nine thousand, three hundred forty-four".