2972484019232 has 288 divisors, whose sum is σ = 7726204846080. Its totient is φ = 1112712007680.

The previous prime is 2972484019223. The next prime is 2972484019243. The reversal of 2972484019232 is 2329104842792.

It is a super-2 number, since 2×2972484019232² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 362892257 + ... + 362900447.

It is an arithmetic number, because the mean of its divisors is an integer number (26827100160).

Almost surely, 2^{2972484019232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972484019232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863102423040).

2972484019232 is an abundant number, since it is smaller than the sum of its proper divisors (4753720826848).

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

2972484019232 is a wasteful number, since it uses less digits than its factorization.

2972484019232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 2972484019232 in words is "two trillion, nine hundred seventy-two billion, four hundred eighty-four million, nineteen thousand, two hundred thirty-two".