2972284765200 has 360 divisors, whose sum is σ = 10775933296128. Its totient is φ = 757245265920.

The previous prime is 2972284765169. The next prime is 2972284765207. The reversal of 2972284765200 is 25674822792.

2972284765200 is a `hidden beast` number, since 2 + 9 + 72 + 2 + 8 + 47 + 6 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (2972284765207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70938657 + ... + 70980543.

Almost surely, 2^{2972284765200} is an apocalyptic number.

2972284765200 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 2972284765200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387966648064).

2972284765200 is an abundant number, since it is smaller than the sum of its proper divisors (7803648530928).

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

2972284765200 is a wasteful number, since it uses less digits than its factorization.

2972284765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42791 (or 42777 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2972284765200 in words is "two trillion, nine hundred seventy-two billion, two hundred eighty-four million, seven hundred sixty-five thousand, two hundred".