2957715171840 has 960 divisors, whose sum is σ = 11306071865088. Its totient is φ = 655164702720.

The previous prime is 2957715171821. The next prime is 2957715171863. The reversal of 2957715171840 is 481715177592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244304732 + ... + 1244307108.

Almost surely, 2^{2957715171840} is an apocalyptic number.

2957715171840 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 2957715171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653035932544).

2957715171840 is an abundant number, since it is smaller than the sum of its proper divisors (8348356693248).

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

2957715171840 is a wasteful number, since it uses less digits than its factorization.

2957715171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 57.

The spelling of 2957715171840 in words is "two trillion, nine hundred fifty-seven billion, seven hundred fifteen million, one hundred seventy-one thousand, eight hundred forty".