2204428800 has 480 divisors, whose sum is σ = 8524454400. Its totient is φ = 491765760.

The previous prime is 2204428769. The next prime is 2204428819. The reversal of 2204428800 is 88244022.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15859131 + ... + 15859269.

It is an arithmetic number, because the mean of its divisors is an integer number (17759280).

Almost surely, 2^2204428800 is an apocalyptic number.

2204428800 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 2204428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262227200).

2204428800 is an abundant number, since it is smaller than the sum of its proper divisors (6320025600).

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

2204428800 is a wasteful number, since it uses less digits than its factorization.

2204428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2204428800 is about 46951.3450286571. The cubic root of 2204428800 is about 1301.4635981457.

The spelling of 2204428800 in words is "two billion, two hundred four million, four hundred twenty-eight thousand, eight hundred".