2604441600 has 420 divisors, whose sum is σ = 9709516014. Its totient is φ = 690094080.

The previous prime is 2604441589. The next prime is 2604441601. The reversal of 2604441600 is 61444062.

2604441600 is a `hidden beast` number, since 2 + 60 + 444 + 160 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1672482816 + 931958784 = 40896^2 + 30528^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2604441601) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 16588722 + ... + 16588878.

Almost surely, 2^2604441600 is an apocalyptic number.

2604441600 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 2604441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854758007).

2604441600 is an abundant number, since it is smaller than the sum of its proper divisors (7105074414).

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

2604441600 is an equidigital number, since it uses as much as digits as its factorization.

2604441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2604441600 is about 51033.7300224077. The cubic root of 2604441600 is about 1375.8514351951.

Adding to 2604441600 its reverse (61444062), we get a palindrome (2665885662).

The spelling of 2604441600 in words is "two billion, six hundred four million, four hundred forty-one thousand, six hundred".