2166716304 has 105 divisors (see below), whose sum is σ = 6308777419. Its totient is φ = 720563040.

The previous prime is 2166716297. The next prime is 2166716323. The reversal of 2166716304 is 4036176612.

It is a happy number.

The square root of 2166716304 is 46548.

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

2166716304 is a `hidden beast` number, since 2 + 16 + 6 + 7 + 1 + 630 + 4 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5026969 + ... + 5027399.

Almost surely, 2^2166716304 is an apocalyptic number.

2166716304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2166716304 is the 46548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166716304

2166716304 is an abundant number, since it is smaller than the sum of its proper divisors (4142061115).

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

2166716304 is an frugal number, since it uses more digits than its factorization.

2166716304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 2166716304 is about 1293.9992276002. Note that the first 3 decimals are identical.

Multiplying 2166716304 by its sum of digits (36), we get a square (78001786944 = 279288²).

2166716304 divided by its sum of digits (36) gives a square (60186564 = 7758²).

The spelling of 2166716304 in words is "two billion, one hundred sixty-six million, seven hundred sixteen thousand, three hundred four".