2166328320 has 352 divisors, whose sum is σ = 7868340480. Its totient is φ = 504299520.

The previous prime is 2166328291. The next prime is 2166328327. The reversal of 2166328320 is 238236612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166328327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3793635 + ... + 3794205.

It is an arithmetic number, because the mean of its divisors is an integer number (22353240).

Almost surely, 2^2166328320 is an apocalyptic number.

2166328320 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 2166328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934170240).

2166328320 is an abundant number, since it is smaller than the sum of its proper divisors (5702012160).

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

2166328320 is a wasteful number, since it uses less digits than its factorization.

2166328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2166328320 is about 46543.8322444553. The cubic root of 2166328320 is about 1293.9219861442.

The spelling of 2166328320 in words is "two billion, one hundred sixty-six million, three hundred twenty-eight thousand, three hundred twenty".