2204092800 has 864 divisors, whose sum is σ = 10024931280. Its totient is φ = 449003520.

The previous prime is 2204092763. The next prime is 2204092819. The reversal of 2204092800 is 82904022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 76003186 + ... + 76003214.

Almost surely, 2^2204092800 is an apocalyptic number.

2204092800 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 2204092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012465640).

2204092800 is an abundant number, since it is smaller than the sum of its proper divisors (7820838480).

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

2204092800 is a wasteful number, since it uses less digits than its factorization.

2204092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2204092800 is about 46947.7667200475. The cubic root of 2204092800 is about 1301.3974715693.

Adding to 2204092800 its reverse (82904022), we get a palindrome (2286996822).

The spelling of 2204092800 in words is "two billion, two hundred four million, ninety-two thousand, eight hundred".