2162664320 has 64 divisors (see below), whose sum is σ = 5177152800. Its totient is φ = 863889408.

The previous prime is 2162664289. The next prime is 2162664337. The reversal of 2162664320 is 234662612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2162664320² = 9354233922002124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586322 + ... + 589998.

Almost surely, 2^2162664320 is an apocalyptic number.

2162664320 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 2162664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588576400).

2162664320 is an abundant number, since it is smaller than the sum of its proper divisors (3014488480).

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

2162664320 is an equidigital number, since it uses as much as digits as its factorization.

2162664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2162664320 is about 46504.4548403699. The cubic root of 2162664320 is about 1293.1920866993.

The spelling of 2162664320 in words is "two billion, one hundred sixty-two million, six hundred sixty-four thousand, three hundred twenty".