2972639695200 has 1152 divisors, whose sum is σ = 11995062266880. Its totient is φ = 624269721600.

The previous prime is 2972639695199. The next prime is 2972639695211. The reversal of 2972639695200 is 25969362792.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2578177824 + ... + 2578178976.

It is an arithmetic number, because the mean of its divisors is an integer number (10412380440).

Almost surely, 2^{2972639695200} is an apocalyptic number.

2972639695200 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 2972639695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997531133440).

2972639695200 is an abundant number, since it is smaller than the sum of its proper divisors (9022422571680).

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

2972639695200 is a wasteful number, since it uses less digits than its factorization.

2972639695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 2972639695200 in words is "two trillion, nine hundred seventy-two billion, six hundred thirty-nine million, six hundred ninety-five thousand, two hundred".