2604340400 has 60 divisors (see below), whose sum is σ = 6265635432. Its totient is φ = 1040286720.

The previous prime is 2604340399. The next prime is 2604340429. The reversal of 2604340400 is 40434062.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310664 + ... + 318936.

Almost surely, 2^2604340400 is an apocalyptic number.

2604340400 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 2604340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132817716).

2604340400 is an abundant number, since it is smaller than the sum of its proper divisors (3661295032).

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

2604340400 is a wasteful number, since it uses less digits than its factorization.

2604340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2604340400 is about 51032.7385116652. The cubic root of 2604340400 is about 1375.8336146165.

Adding to 2604340400 its reverse (40434062), we get a palindrome (2644774462).

The spelling of 2604340400 in words is "two billion, six hundred four million, three hundred forty thousand, four hundred".