2957136000 has 512 divisors, whose sum is σ = 12082936320. Its totient is φ = 623001600.

The previous prime is 2957135959. The next prime is 2957136023. The reversal of 2957136000 is 6317592.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367662 + ... + 4368338.

It is an arithmetic number, because the mean of its divisors is an integer number (23599485).

Almost surely, 2^2957136000 is an apocalyptic number.

2957136000 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 2957136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041468160).

2957136000 is an abundant number, since it is smaller than the sum of its proper divisors (9125800320).

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

2957136000 is a wasteful number, since it uses less digits than its factorization.

2957136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 2957136000 is about 54379.5549816289. The cubic root of 2957136000 is about 1435.3476396354.

The spelling of 2957136000 in words is "two billion, nine hundred fifty-seven million, one hundred thirty-six thousand".