2598460800 has 384 divisors, whose sum is σ = 9434396160. Its totient is φ = 624599040.

The previous prime is 2598460783. The next prime is 2598460807. The reversal of 2598460800 is 80648952.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2598460807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5865379 + ... + 5865821.

It is an arithmetic number, because the mean of its divisors is an integer number (24568740).

Almost surely, 2^2598460800 is an apocalyptic number.

2598460800 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 2598460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717198080).

2598460800 is an abundant number, since it is smaller than the sum of its proper divisors (6835935360).

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

2598460800 is a wasteful number, since it uses less digits than its factorization.

2598460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2598460800 is about 50975.0998037277. The cubic root of 2598460800 is about 1374.7974665876.

The spelling of 2598460800 in words is "two billion, five hundred ninety-eight million, four hundred sixty thousand, eight hundred".