2123366400 has 315 divisors, whose sum is σ = 7866413401. Its totient is φ = 566231040.

The previous prime is 2123366353. The next prime is 2123366429. The reversal of 2123366400 is 46633212.

The square root of 2123366400 is 46080.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (2!)¹².

2123366400 is a `hidden beast` number, since 2 + 12 + 3 + 3 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 764411904 + 1358954496 = 27648^2 + 36864^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 424673278 + ... + 424673282.

Almost surely, 2^2123366400 is an apocalyptic number.

2123366400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2123366400 is the 46080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123366400

2123366400 is an abundant number, since it is smaller than the sum of its proper divisors (5743047001).

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

2123366400 is an frugal number, since it uses more digits than its factorization.

2123366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The cubic root of 2123366400 is about 1285.3112641578.

Multiplying 2123366400 by its product of nonzero digits (5184), we get a square (11007531417600 = 3317760²).

2123366400 divided by its product of nonzero digits (5184) gives a square (409600 = 640²).

Adding to 2123366400 its reverse (46633212), we get a palindrome (2169999612).

The spelling of 2123366400 in words is "two billion, one hundred twenty-three million, three hundred sixty-six thousand, four hundred".