2656872351744 has 144 divisors (see below), whose sum is σ = 7670045401200. Its totient is φ = 817498865664.

The previous prime is 2656872351743. The next prime is 2656872351787. The reversal of 2656872351744 is 4471532786562.

It is not an unprimeable number, because it can be changed into a prime (2656872351743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241054 + ... + 2317725.

It is an arithmetic number, because the mean of its divisors is an integer number (53264204175).

Almost surely, 2^{2656872351744} is an apocalyptic number.

2656872351744 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 2656872351744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835022700600).

2656872351744 is an abundant number, since it is smaller than the sum of its proper divisors (5013173049456).

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

2656872351744 is a wasteful number, since it uses less digits than its factorization.

2656872351744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558830 (or 2558797 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 60.

The spelling of 2656872351744 in words is "two trillion, six hundred fifty-six billion, eight hundred seventy-two million, three hundred fifty-one thousand, seven hundred forty-four".