2972512670976 has 432 divisors, whose sum is σ = 9424528049664. Its totient is φ = 931186409472.

The previous prime is 2972512670879. The next prime is 2972512671017. The reversal of 2972512670976 is 6790762152792.

2972512670976 is a `hidden beast` number, since 29 + 7 + 2 + 512 + 6 + 7 + 0 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2972512670976² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912651940 + ... + 912655196.

It is an arithmetic number, because the mean of its divisors is an integer number (21816037152).

Almost surely, 2^{2972512670976} 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 2972512670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712264024832).

2972512670976 is an abundant number, since it is smaller than the sum of its proper divisors (6452015378688).

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

2972512670976 is an equidigital number, since it uses as much as digits as its factorization.

2972512670976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 2972512670976 in words is "two trillion, nine hundred seventy-two billion, five hundred twelve million, six hundred seventy thousand, nine hundred seventy-six".