2604888000 has 1008 divisors, whose sum is σ = 11509662528. Its totient is φ = 557568000.

The previous prime is 2604887963. The next prime is 2604888037. The reversal of 2604888000 is 8884062.

2604888000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2604887963) and next prime (2604888037).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113255989 + ... + 113256011.

It is an arithmetic number, because the mean of its divisors is an integer number (11418316).

Almost surely, 2^2604888000 is an apocalyptic number.

2604888000 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 2604888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754831264).

2604888000 is an abundant number, since it is smaller than the sum of its proper divisors (8904774528).

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

2604888000 is a wasteful number, since it uses less digits than its factorization.

2604888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2604888000 is about 51038.1034130384. The cubic root of 2604888000 is about 1375.9300374560.

The spelling of 2604888000 in words is "two billion, six hundred four million, eight hundred eighty-eight thousand".