2598208704000 has 3840 divisors, whose sum is σ = 12560316088320. Its totient is φ = 517570560000.

The previous prime is 2598208703963. The next prime is 2598208704029. The reversal of 2598208704000 is 4078028952.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63370943980 + ... + 63370944020.

It is an arithmetic number, because the mean of its divisors is an integer number (3270915648).

Almost surely, 2^{2598208704000} is an apocalyptic number.

2598208704000 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 2598208704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280158044160).

2598208704000 is an abundant number, since it is smaller than the sum of its proper divisors (9962107384320).

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

2598208704000 is a wasteful number, since it uses less digits than its factorization.

2598208704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2598208704000 in words is "two trillion, five hundred ninety-eight billion, two hundred eight million, seven hundred four thousand".