2162440800 has 720 divisors, whose sum is σ = 9051733152. Its totient is φ = 497664000.

The previous prime is 2162440799. The next prime is 2162440807. The reversal of 2162440800 is 80442612.

2162440800 is a `hidden beast` number, since 216 + 2 + 440 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162440807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14320725 + ... + 14320875.

Almost surely, 2^2162440800 is an apocalyptic number.

2162440800 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 2162440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525866576).

2162440800 is an abundant number, since it is smaller than the sum of its proper divisors (6889292352).

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

2162440800 is a wasteful number, since it uses less digits than its factorization.

2162440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2162440800 is about 46502.0515676459. The cubic root of 2162440800 is about 1293.1475329743.

The spelling of 2162440800 in words is "two billion, one hundred sixty-two million, four hundred forty thousand, eight hundred".