2972100523392 has 1536 divisors, whose sum is σ = 12030755143680. Its totient is φ = 679311360000.

The previous prime is 2972100523387. The next prime is 2972100523439. The reversal of 2972100523392 is 2933250012792.

2972100523392 is a `hidden beast` number, since 2 + 97 + 2 + 1 + 0 + 0 + 523 + 39 + 2 = 666.

It is a super-2 number, since 2×2972100523392² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2538086967 + ... + 2538088137.

It is an arithmetic number, because the mean of its divisors is an integer number (7832522880).

Almost surely, 2^{2972100523392} is an apocalyptic number.

2972100523392 is a gapful number since it is divisible by the number (22) 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 2972100523392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015377571840).

2972100523392 is an abundant number, since it is smaller than the sum of its proper divisors (9058654620288).

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

2972100523392 is a wasteful number, since it uses less digits than its factorization.

2972100523392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2972100523392 in words is "two trillion, nine hundred seventy-two billion, one hundred million, five hundred twenty-three thousand, three hundred ninety-two".