2956137800640 has 224 divisors, whose sum is σ = 9529441399296. Its totient is φ = 776295075840.

The previous prime is 2956137800611. The next prime is 2956137800669. The reversal of 2956137800640 is 460087316592.

It is an interprime number because it is at equal distance from previous prime (2956137800611) and next prime (2956137800669).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct 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, 24720834 + ... + 24840126.

It is an arithmetic number, because the mean of its divisors is an integer number (42542149104).

It is a 1-persistent number, because it is pandigital, but 2⋅2956137800640 = 5912275601280 is not.

Almost surely, 2^{2956137800640} is an apocalyptic number.

2956137800640 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 2956137800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764720699648).

2956137800640 is an abundant number, since it is smaller than the sum of its proper divisors (6573303598656).

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

2956137800640 is a wasteful number, since it uses less digits than its factorization.

2956137800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119707 (or 119697 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 2956137800640 in words is "two trillion, nine hundred fifty-six billion, one hundred thirty-seven million, eight hundred thousand, six hundred forty".