2604896000 has 288 divisors, whose sum is σ = 7690999680. Its totient is φ = 860160000.

The previous prime is 2604895999. The next prime is 2604896039. The reversal of 2604896000 is 6984062.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6495800 + ... + 6496200.

It is an arithmetic number, because the mean of its divisors is an integer number (26704860).

Almost surely, 2^2604896000 is an apocalyptic number.

2604896000 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 2604896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845499840).

2604896000 is an abundant number, since it is smaller than the sum of its proper divisors (5086103680).

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

2604896000 is an equidigital number, since it uses as much as digits as its factorization.

2604896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2604896000 is about 51038.1817857964. The cubic root of 2604896000 is about 1375.9314460167.

The spelling of 2604896000 in words is "two billion, six hundred four million, eight hundred ninety-six thousand".