2598420000 has 480 divisors, whose sum is σ = 9673703424. Its totient is φ = 604800000.

The previous prime is 2598419951. The next prime is 2598420017. The reversal of 2598420000 is 248952.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2598420000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20459937 + ... + 20460063.

Almost surely, 2^2598420000 is an apocalyptic number.

2598420000 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 2598420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836851712).

2598420000 is an abundant number, since it is smaller than the sum of its proper divisors (7075283424).

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

2598420000 is a wasteful number, since it uses less digits than its factorization.

2598420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2598420000 is about 50974.6996067657. The cubic root of 2598420000 is about 1374.7902710419.

Adding to 2598420000 its reverse (248952), we get a palindrome (2598668952).

The spelling of 2598420000 in words is "two billion, five hundred ninety-eight million, four hundred twenty thousand".