2972475285120 has 768 divisors, whose sum is σ = 12238716072960. Its totient is φ = 656326656000.

The previous prime is 2972475285119. The next prime is 2972475285211. The reversal of 2972475285120 is 215825742792.

It is a happy number.

2972475285120 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 47 + 528 + 51 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33346210 + ... + 33435230.

It is an arithmetic number, because the mean of its divisors is an integer number (15935828220).

Almost surely, 2^{2972475285120} is an apocalyptic number.

2972475285120 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 2972475285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119358036480).

2972475285120 is an abundant number, since it is smaller than the sum of its proper divisors (9266240787840).

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

2972475285120 is a wasteful number, since it uses less digits than its factorization.

2972475285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89105 (or 89090 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2972475285120 in words is "two trillion, nine hundred seventy-two billion, four hundred seventy-five million, two hundred eighty-five thousand, one hundred twenty".