2204324000 has 96 divisors (see below), whose sum is σ = 5548534992. Its totient is φ = 860160000.

The previous prime is 2204323993. The next prime is 2204324081. The reversal of 2204324000 is 4234022.

It can be written as a sum of positive squares in 8 ways, for example, as 198359056 + 2005964944 = 14084^2 + 44788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2204324000.

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 15 ways as a sum of consecutive naturals, for example, 157280 + ... + 170720.

Almost surely, 2^2204324000 is an apocalyptic number.

2204324000 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 2204324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774267496).

2204324000 is an abundant number, since it is smaller than the sum of its proper divisors (3344210992).

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

2204324000 is a wasteful number, since it uses less digits than its factorization.

2204324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13507 (or 13489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2204324000 is about 46950.2289664278. The cubic root of 2204324000 is about 1301.4429736727.

Adding to 2204324000 its reverse (4234022), we get a palindrome (2208558022).

The spelling of 2204324000 in words is "two billion, two hundred four million, three hundred twenty-four thousand".