2433228800 has 126 divisors (see below), whose sum is σ = 6089905143. Its totient is φ = 964362240.

The previous prime is 2433228797. The next prime is 2433228821. The reversal of 2433228800 is 88223342.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1363677184 + 1069551616 = 36928^2 + 32704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=34880.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22323146 + ... + 22323254.

Almost surely, 2^2433228800 is an apocalyptic number.

2433228800 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 2433228800

2433228800 is an abundant number, since it is smaller than the sum of its proper divisors (3656676343).

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

2433228800 is an frugal number, since it uses more digits than its factorization.

2433228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2433228800 is about 49327.7690555736. The cubic root of 2433228800 is about 1345.0166155592.

Multiplying 2433228800 by its sum of digits (32), we get a square (77863321600 = 279040²).

2433228800 divided by its sum of digits (32) gives a square (76038400 = 8720²).

Multiplying 2433228800 by its product of nonzero digits (18432), we get a square (44849273241600 = 6696960²).

The spelling of 2433228800 in words is "two billion, four hundred thirty-three million, two hundred twenty-eight thousand, eight hundred".