2972445120 has 336 divisors, whose sum is σ = 11078687520. Its totient is φ = 750145536.

The previous prime is 2972445109. The next prime is 2972445143. The reversal of 2972445120 is 215442792.

2972445120 is a `hidden beast` number, since 2 + 97 + 2 + 445 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3118564 + ... + 3119516.

Almost surely, 2^2972445120 is an apocalyptic number.

2972445120 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 2972445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539343760).

2972445120 is an abundant number, since it is smaller than the sum of its proper divisors (8106242400).

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

2972445120 is a wasteful number, since it uses less digits than its factorization.

2972445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2972445120 is about 54520.1349961645. The cubic root of 2972445120 is about 1437.8203134470.

The spelling of 2972445120 in words is "two billion, nine hundred seventy-two million, four hundred forty-five thousand, one hundred twenty".