2972021956800 has 336 divisors, whose sum is σ = 10516112259072. Its totient is φ = 730505318400.

The previous prime is 2972021956747. The next prime is 2972021956859. The reversal of 2972021956800 is 86591202792.

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, 43083937 + ... + 43152863.

It is an arithmetic number, because the mean of its divisors is an integer number (31297953152).

Almost surely, 2^{2972021956800} is an apocalyptic number.

2972021956800 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 2972021956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258056129536).

2972021956800 is an abundant number, since it is smaller than the sum of its proper divisors (7544090302272).

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

2972021956800 is a wasteful number, since it uses less digits than its factorization.

2972021956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69656 (or 69641 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 2972021956800 in words is "two trillion, nine hundred seventy-two billion, twenty-one million, nine hundred fifty-six thousand, eight hundred".