2972177121648 has 480 divisors, whose sum is σ = 9204023333376. Its totient is φ = 823732955136.

The previous prime is 2972177121607. The next prime is 2972177121659. The reversal of 2972177121648 is 8461217712792.

Its product of digits (4741632) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6103032861 + ... + 6103033347.

Almost surely, 2^{2972177121648} is an apocalyptic number.

2972177121648 is a gapful number since it is divisible by the number (28) 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 2972177121648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602011666688).

2972177121648 is an abundant number, since it is smaller than the sum of its proper divisors (6231846211728).

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

2972177121648 is a wasteful number, since it uses less digits than its factorization.

2972177121648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1008 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 57.

The spelling of 2972177121648 in words is "two trillion, nine hundred seventy-two billion, one hundred seventy-seven million, one hundred twenty-one thousand, six hundred forty-eight".