2233612800 has 480 divisors, whose sum is σ = 8585343360. Its totient is φ = 567705600.

The previous prime is 2233612763. The next prime is 2233612831. The reversal of 2233612800 is 82163322.

2233612800 is a `hidden beast` number, since 2 + 23 + 361 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2233612800² = 9978052280647680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7948660 + ... + 7948940.

It is an arithmetic number, because the mean of its divisors is an integer number (17886132).

Almost surely, 2^2233612800 is an apocalyptic number.

2233612800 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 2233612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292671680).

2233612800 is an abundant number, since it is smaller than the sum of its proper divisors (6351730560).

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

2233612800 is a wasteful number, since it uses less digits than its factorization.

2233612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

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

The square root of 2233612800 is about 47261.1129788540. The cubic root of 2233612800 is about 1307.1817119022.

The spelling of 2233612800 in words is "two billion, two hundred thirty-three million, six hundred twelve thousand, eight hundred".