2165708160 has 768 divisors, whose sum is σ = 9852710400. Its totient is φ = 424673280.

The previous prime is 2165708131. The next prime is 2165708177. The reversal of 2165708160 is 618075612.

2165708160 is a `hidden beast` number, since 2 + 1 + 6 + 570 + 81 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8426752 + ... + 8427008.

It is an arithmetic number, because the mean of its divisors is an integer number (12829050).

Almost surely, 2^2165708160 is an apocalyptic number.

2165708160 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 2165708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926355200).

2165708160 is an abundant number, since it is smaller than the sum of its proper divisors (7687002240).

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

2165708160 is a wasteful number, since it uses less digits than its factorization.

2165708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2165708160 is about 46537.1696603908. The cubic root of 2165708160 is about 1293.7985029775.

The spelling of 2165708160 in words is "two billion, one hundred sixty-five million, seven hundred eight thousand, one hundred sixty".