2604676800 has 168 divisors, whose sum is σ = 9322564032. Its totient is φ = 631424000.

The previous prime is 2604676783. The next prime is 2604676801. The reversal of 2604676800 is 86764062.

It is not an unprimeable number, because it can be changed into a prime (2604676801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28135 + ... + 77465.

Almost surely, 2^2604676800 is an apocalyptic number.

2604676800 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 2604676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661282016).

2604676800 is an abundant number, since it is smaller than the sum of its proper divisors (6717887232).

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

2604676800 is a wasteful number, since it uses less digits than its factorization.

2604676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49367 (or 49352 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2604676800 is about 51036.0343286976. The cubic root of 2604676800 is about 1375.8928504089.

The spelling of 2604676800 in words is "two billion, six hundred four million, six hundred seventy-six thousand, eight hundred".