2123222400 has 576 divisors, whose sum is σ = 8390556720. Its totient is φ = 507985920.

The previous prime is 2123222389. The next prime is 2123222417. The reversal of 2123222400 is 42223212.

2123222400 is a `hidden beast` number, since 21 + 23 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19843147 + ... + 19843253.

Almost surely, 2^2123222400 is an apocalyptic number.

2123222400 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 2123222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195278360).

2123222400 is an abundant number, since it is smaller than the sum of its proper divisors (6267334320).

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

2123222400 is a wasteful number, since it uses less digits than its factorization.

2123222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2123222400 is about 46078.4374735081. The cubic root of 2123222400 is about 1285.2822082514.

Adding to 2123222400 its reverse (42223212), we get a palindrome (2165445612).

The spelling of 2123222400 in words is "two billion, one hundred twenty-three million, two hundred twenty-two thousand, four hundred".