2116874304 has 112 divisors (see below), whose sum is σ = 6281928000. Its totient is φ = 699030144.

The previous prime is 2116874293. The next prime is 2116874327. The reversal of 2116874304 is 4034786112.

The cubic root of 2116874304 is 1284.

It is a perfect power (a cube), and thus also a powerful number.

2116874304 is a `hidden beast` number, since 211 + 6 + 8 + 7 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19783819 + ... + 19783925.

Almost surely, 2^2116874304 is an apocalyptic number.

2116874304 is a gapful number since it is divisible by the number (24) 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 2116874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140964000).

2116874304 is an abundant number, since it is smaller than the sum of its proper divisors (4165053696).

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

2116874304 is an frugal number, since it uses more digits than its factorization.

2116874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2116874304 is about 46009.5023228898.

The spelling of 2116874304 in words is "two billion, one hundred sixteen million, eight hundred seventy-four thousand, three hundred four".