2956400317024 has 192 divisors, whose sum is σ = 7361706788352. Its totient is φ = 1135230566400.

The previous prime is 2956400317009. The next prime is 2956400317033. The reversal of 2956400317024 is 4207130046592.

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, 86082384 + ... + 86116720.

It is an arithmetic number, because the mean of its divisors is an integer number (38342222856).

Almost surely, 2^{2956400317024} 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 2956400317024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680853394176).

2956400317024 is an abundant number, since it is smaller than the sum of its proper divisors (4405306471328).

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

2956400317024 is a wasteful number, since it uses less digits than its factorization.

2956400317024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34869 (or 34861 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 2956400317024 in words is "two trillion, nine hundred fifty-six billion, four hundred million, three hundred seventeen thousand, twenty-four".