2598010060800 has 768 divisors, whose sum is σ = 10711166227200. Its totient is φ = 539806924800.

The previous prime is 2598010060777. The next prime is 2598010060843. The reversal of 2598010060800 is 80600108952.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189228336 + ... + 189242064.

It is an arithmetic number, because the mean of its divisors is an integer number (13946831025).

Almost surely, 2^{2598010060800} is an apocalyptic number.

2598010060800 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 2598010060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355583113600).

2598010060800 is an abundant number, since it is smaller than the sum of its proper divisors (8113156166400).

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

2598010060800 is a wasteful number, since it uses less digits than its factorization.

2598010060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 2598010060800 in words is "two trillion, five hundred ninety-eight billion, ten million, sixty thousand, eight hundred".