2166384720 has 160 divisors (see below), whose sum is σ = 7171540992. Its totient is φ = 539675136.

The previous prime is 2166384713. The next prime is 2166384733. The reversal of 2166384720 is 274836612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232797 + ... + 241923.

Almost surely, 2^2166384720 is an apocalyptic number.

2166384720 is a gapful number since it is divisible by the number (20) 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 2166384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585770496).

2166384720 is an abundant number, since it is smaller than the sum of its proper divisors (5005156272).

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

2166384720 is a wasteful number, since it uses less digits than its factorization.

2166384720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2166384720 is about 46544.4381210043. The cubic root of 2166384720 is about 1293.9332150618.

The spelling of 2166384720 in words is "two billion, one hundred sixty-six million, three hundred eighty-four thousand, seven hundred twenty".