2118172672 has 240 divisors, whose sum is σ = 5586642432. Its totient is φ = 778567680.

The previous prime is 2118172657. The next prime is 2118172697. The reversal of 2118172672 is 2762718112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29016028 + ... + 29016100.

Almost surely, 2^2118172672 is an apocalyptic number.

2118172672 is a gapful number since it is divisible by the number (22) 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 2118172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793321216).

2118172672 is an abundant number, since it is smaller than the sum of its proper divisors (3468469760).

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

2118172672 is an equidigital number, since it uses as much as digits as its factorization.

2118172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its digits is 18816, while the sum is 37.

The square root of 2118172672 is about 46023.6099409857. The cubic root of 2118172672 is about 1284.2624567410.

The spelling of 2118172672 in words is "two billion, one hundred eighteen million, one hundred seventy-two thousand, six hundred seventy-two".