2598204211200 has 1296 divisors, whose sum is σ = 10435900247136. Its totient is φ = 637009920000.

The previous prime is 2598204211189. The next prime is 2598204211241. The reversal of 2598204211200 is 21124028952.

2598204211200 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 20 + 421 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10351411075 + ... + 10351411325.

It is an arithmetic number, because the mean of its divisors is an integer number (8052392166).

Almost surely, 2^{2598204211200} is an apocalyptic number.

2598204211200 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 2598204211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217950123568).

2598204211200 is an abundant number, since it is smaller than the sum of its proper divisors (7837696035936).

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

2598204211200 is an frugal number, since it uses more digits than its factorization.

2598204211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 274 counting only the distinct ones).

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

The spelling of 2598204211200 in words is "two trillion, five hundred ninety-eight billion, two hundred four million, two hundred eleven thousand, two hundred".