2598220800 has 660 divisors, whose sum is σ = 11056747680. Its totient is φ = 590561280.

The previous prime is 2598220747. The next prime is 2598220817. The reversal of 2598220800 is 80228952.

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 59 ways as a sum of consecutive naturals, for example, 14515111 + ... + 14515289.

It is an arithmetic number, because the mean of its divisors is an integer number (16752648).

Almost surely, 2^2598220800 is an apocalyptic number.

2598220800 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 2598220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528373840).

2598220800 is an abundant number, since it is smaller than the sum of its proper divisors (8458526880).

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

2598220800 is a wasteful number, since it uses less digits than its factorization.

2598220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

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

The square root of 2598220800 is about 50972.7456588322. The cubic root of 2598220800 is about 1374.7551387666.

The spelling of 2598220800 in words is "two billion, five hundred ninety-eight million, two hundred twenty thousand, eight hundred".