2133604800 has 420 divisors, whose sum is σ = 7968834456. Its totient is φ = 559872000.

The previous prime is 2133604793. The next prime is 2133604819. The reversal of 2133604800 is 84063312.

It is a happy number.

2133604800 is a `hidden beast` number, since 21 + 33 + 604 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13089519 + ... + 13089681.

Almost surely, 2^2133604800 is an apocalyptic number.

2133604800 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 2133604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984417228).

2133604800 is an abundant number, since it is smaller than the sum of its proper divisors (5835229656).

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

2133604800 is a wasteful number, since it uses less digits than its factorization.

2133604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2133604800 is about 46190.9601545584. The cubic root of 2133604800 is about 1287.3737809468.

The spelling of 2133604800 in words is "two billion, one hundred thirty-three million, six hundred four thousand, eight hundred".