2972568754368 has 336 divisors, whose sum is σ = 9283858821120. Its totient is φ = 906128197632.

The previous prime is 2972568754339. The next prime is 2972568754403. The reversal of 2972568754368 is 8634578652792.

2972568754368 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 568 + 7 + 54 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2972568754296 and 2972568754305.

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, 51396955 + ... + 51454757.

Almost surely, 2^{2972568754368} 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 2972568754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641929410560).

2972568754368 is an abundant number, since it is smaller than the sum of its proper divisors (6311290066752).

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

2972568754368 is a wasteful number, since it uses less digits than its factorization.

2972568754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58004 (or 57991 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 2972568754368 in words is "two trillion, nine hundred seventy-two billion, five hundred sixty-eight million, seven hundred fifty-four thousand, three hundred sixty-eight".