2874792960000 has 840 divisors, whose sum is σ = 11177819452800. Its totient is φ = 707493888000.

The previous prime is 2874792959977. The next prime is 2874792960007. The reversal of 2874792960000 is 692974782.

2874792960000 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 7 + 9 + 29 + 600 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874792960007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 599037601 + ... + 599042399.

It is an arithmetic number, because the mean of its divisors is an integer number (13306927920).

Almost surely, 2^{2874792960000} is an apocalyptic number.

2874792960000 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 2874792960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588909726400).

2874792960000 is an abundant number, since it is smaller than the sum of its proper divisors (8303026492800).

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

2874792960000 is an equidigital number, since it uses as much as digits as its factorization.

2874792960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2874792960000 in words is "two trillion, eight hundred seventy-four billion, seven hundred ninety-two million, nine hundred sixty thousand".