2162972672 has 144 divisors (see below), whose sum is σ = 5139847440. Its totient is φ = 891371520.

The previous prime is 2162972563. The next prime is 2162972681. The reversal of 2162972672 is 2762792612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13776818 + ... + 13776974.

It is an arithmetic number, because the mean of its divisors is an integer number (35693385).

Almost surely, 2^2162972672 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 2162972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569923720).

2162972672 is an abundant number, since it is smaller than the sum of its proper divisors (2976874768).

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

2162972672 is an equidigital number, since it uses as much as digits as its factorization.

2162972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 197 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 2162972672 is about 46507.7700174928. The cubic root of 2162972672 is about 1293.2535447524.

The spelling of 2162972672 in words is "two billion, one hundred sixty-two million, nine hundred seventy-two thousand, six hundred seventy-two".