2956656565440 has 896 divisors, whose sum is σ = 10942602854400. Its totient is φ = 750663106560.

The previous prime is 2956656565439. The next prime is 2956656565451. The reversal of 2956656565440 is 445656566592.

2956656565440 is a `hidden beast` number, since 2 + 9 + 5 + 6 + 6 + 565 + 65 + 4 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8235811981 + ... + 8235812339.

It is an arithmetic number, because the mean of its divisors is an integer number (12212726400).

Almost surely, 2^{2956656565440} is an apocalyptic number.

2956656565440 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 2956656565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471301427200).

2956656565440 is an abundant number, since it is smaller than the sum of its proper divisors (7985946288960).

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

2956656565440 is a wasteful number, since it uses less digits than its factorization.

2956656565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 2956656565440 in words is "two trillion, nine hundred fifty-six billion, six hundred fifty-six million, five hundred sixty-five thousand, four hundred forty".