2162264400 has 180 divisors, whose sum is σ = 7529531100. Its totient is φ = 574617600.

The previous prime is 2162264393. The next prime is 2162264411. The reversal of 2162264400 is 44622612.

2162264400 is a `hidden beast` number, since 2 + 16 + 2 + 2 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23386896 + 2138877504 = 4836^2 + 46248^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1255540 + ... + 1257260.

Almost surely, 2^2162264400 is an apocalyptic number.

2162264400 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 2162264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764765550).

2162264400 is an abundant number, since it is smaller than the sum of its proper divisors (5367266700).

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

2162264400 is a wasteful number, since it uses less digits than its factorization.

2162264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2162264400 is about 46500.1548384519. The cubic root of 2162264400 is about 1293.1123694024.

The spelling of 2162264400 in words is "two billion, one hundred sixty-two million, two hundred sixty-four thousand, four hundred".