2604688672 has 36 divisors (see below), whose sum is σ = 5256784386. Its totient is φ = 1269678080.

The previous prime is 2604688661. The next prime is 2604688673. The reversal of 2604688672 is 2768864062.

It can be written as a sum of positive squares in 3 ways, for example, as 128232976 + 2476455696 = 11324^2 + 49764^2 .

It is not an unprimeable number, because it can be changed into a prime (2604688673) 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 5 ways as a sum of consecutive naturals, for example, 1847904 + ... + 1849312.

Almost surely, 2^2604688672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604688672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628392193).

2604688672 is an abundant number, since it is smaller than the sum of its proper divisors (2652095714).

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

2604688672 is an frugal number, since it uses more digits than its factorization.

2604688672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 2604688672 is about 51036.1506385425. The cubic root of 2604688672 is about 1375.8949408250.

The spelling of 2604688672 in words is "two billion, six hundred four million, six hundred eighty-eight thousand, six hundred seventy-two".