2604001600 has 42 divisors (see below), whose sum is σ = 6407475374. Its totient is φ = 1041600000.

The previous prime is 2604001597. The next prime is 2604001613. The reversal of 2604001600 is 61004062.

It can be written as a sum of positive squares in 3 ways, for example, as 485056576 + 2118945024 = 22024^2 + 46032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 812151 + ... + 815350.

Almost surely, 2^2604001600 is an apocalyptic number.

2604001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2604001600 is an abundant number, since it is smaller than the sum of its proper divisors (3803473774).

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

2604001600 is a wasteful number, since it uses less digits than its factorization.

2604001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627523 (or 1627508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2604001600 is about 51029.4189659259. The cubic root of 2604001600 is about 1375.7739510586.

Adding to 2604001600 its reverse (61004062), we get a palindrome (2665005662).

The spelling of 2604001600 in words is "two billion, six hundred four million, one thousand, six hundred".