2004442304300 has 72 divisors (see below), whose sum is σ = 4374979983360. Its totient is φ = 797108065600.

The previous prime is 2004442304251. The next prime is 2004442304303. The reversal of 2004442304300 is 34032444002.

It is a self number, because there is not a number n which added to its sum of digits gives 2004442304300.

It is not an unprimeable number, because it can be changed into a prime (2004442304303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93624197 + ... + 93645603.

It is an arithmetic number, because the mean of its divisors is an integer number (60763610880).

Almost surely, 2^{2004442304300} is an apocalyptic number.

2004442304300 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 2004442304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187489991680).

2004442304300 is an abundant number, since it is smaller than the sum of its proper divisors (2370537679060).

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

2004442304300 is a wasteful number, since it uses less digits than its factorization.

2004442304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26831 (or 26824 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 2004442304300 its reverse (34032444002), we get a palindrome (2038474748302).

The spelling of 2004442304300 in words is "two trillion, four billion, four hundred forty-two million, three hundred four thousand, three hundred".