2604672000 has 1056 divisors, whose sum is σ = 11955790080. Its totient is φ = 530841600.

The previous prime is 2604671963. The next prime is 2604672041. The reversal of 2604672000 is 2764062.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137087991 + ... + 137088009.

Almost surely, 2^2604672000 is an apocalyptic number.

2604672000 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 2604672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977895040).

2604672000 is an abundant number, since it is smaller than the sum of its proper divisors (9351118080).

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

2604672000 is a wasteful number, since it uses less digits than its factorization.

2604672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2604672000 is about 51035.9873030786. The cubic root of 2604672000 is about 1375.8920052254.

The spelling of 2604672000 in words is "two billion, six hundred four million, six hundred seventy-two thousand".