2872958157000 has 384 divisors, whose sum is σ = 9779501178720. Its totient is φ = 760700160000.

The previous prime is 2872958156983. The next prime is 2872958157001. The reversal of 2872958157000 is 7518592782.

2872958157000 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 9 + 581 + 57 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2666186059716 + 206772097284 = 1632846^2 + 454722^2 .

It is not an unprimeable number, because it can be changed into a prime (2872958157001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1650176130 + ... + 1650177870.

Almost surely, 2^{2872958157000} is an apocalyptic number.

2872958157000 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 2872958157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889750589360).

2872958157000 is an abundant number, since it is smaller than the sum of its proper divisors (6906543021720).

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

2872958157000 is a wasteful number, since it uses less digits than its factorization.

2872958157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 2872958157000 in words is "two trillion, eight hundred seventy-two billion, nine hundred fifty-eight million, one hundred fifty-seven thousand".