2162316800 has 120 divisors (see below), whose sum is σ = 6122892336. Its totient is φ = 741335040.

The previous prime is 2162316799. The next prime is 2162316803. The reversal of 2162316800 is 86132612.

It is a super-2 number, since 2×2162316800² = 9351227887124480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162316803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77534 + ... + 101666.

Almost surely, 2^2162316800 is an apocalyptic number.

2162316800 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 2162316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061446168).

2162316800 is an abundant number, since it is smaller than the sum of its proper divisors (3960575536).

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

2162316800 is an equidigital number, since it uses as much as digits as its factorization.

2162316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24168 (or 24147 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2162316800 is about 46500.7182740224. The cubic root of 2162316800 is about 1293.1228150168.

The spelling of 2162316800 in words is "two billion, one hundred sixty-two million, three hundred sixteen thousand, eight hundred".