2972313792000 has 2240 divisors, whose sum is σ = 13396199731200. Its totient is φ = 642285158400.

The previous prime is 2972313791983. The next prime is 2972313792023. The reversal of 2972313792000 is 2973132792.

It is a happy number.

2972313792000 is a `hidden beast` number, since 2 + 9 + 72 + 3 + 1 + 379 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×2972313792000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 6205247761 + ... + 6205248239.

Almost surely, 2^{2972313792000} is an apocalyptic number.

2972313792000 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 2972313792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698099865600).

2972313792000 is an abundant number, since it is smaller than the sum of its proper divisors (10423885939200).

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

2972313792000 is an frugal number, since it uses more digits than its factorization.

2972313792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 2972313792000 in words is "two trillion, nine hundred seventy-two billion, three hundred thirteen million, seven hundred ninety-two thousand".