2956337010816 has 384 divisors, whose sum is σ = 9231687806400. Its totient is φ = 835741089792.

The previous prime is 2956337010797. The next prime is 2956337010859. The reversal of 2956337010816 is 6180107336592.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2026275495 + ... + 2026276953.

Almost surely, 2^{2956337010816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2956337010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615843903200).

2956337010816 is an abundant number, since it is smaller than the sum of its proper divisors (6275350795584).

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

2956337010816 is a wasteful number, since it uses less digits than its factorization.

2956337010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 2956337010816 in words is "two trillion, nine hundred fifty-six billion, three hundred thirty-seven million, ten thousand, eight hundred sixteen".