2204330400 has 108 divisors (see below), whose sum is σ = 7773045462. Its totient is φ = 587819520.

The previous prime is 2204330383. The next prime is 2204330431. The reversal of 2204330400 is 40334022.

2204330400 is a `hidden beast` number, since 220 + 43 + 3 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1228642704 + 975687696 = 35052^2 + 31236^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 145879 + ... + 160278.

Almost surely, 2^2204330400 is an apocalyptic number.

2204330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204330400 is an abundant number, since it is smaller than the sum of its proper divisors (5568715062).

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

2204330400 is a wasteful number, since it uses less digits than its factorization.

2204330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306183 (or 306167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2204330400 is about 46950.2971236605. The cubic root of 2204330400 is about 1301.4442332013. Note that the first 3 decimals are identical.

Adding to 2204330400 its reverse (40334022), we get a palindrome (2244664422).

The spelling of 2204330400 in words is "two billion, two hundred four million, three hundred thirty thousand, four hundred".