2598048000 has 576 divisors, whose sum is σ = 9999575040. Its totient is φ = 663552000.

The previous prime is 2598047971. The next prime is 2598048023. The reversal of 2598048000 is 8408952.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 26783952 + ... + 26784048.

Almost surely, 2^2598048000 is an apocalyptic number.

2598048000 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 2598048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999787520).

2598048000 is an abundant number, since it is smaller than the sum of its proper divisors (7401527040).

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

2598048000 is an equidigital number, since it uses as much as digits as its factorization.

2598048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2598048000 is about 50971.0506071829. The cubic root of 2598048000 is about 1374.7246611215.

The spelling of 2598048000 in words is "two billion, five hundred ninety-eight million, forty-eight thousand".