2558304000000 has 2016 divisors, whose sum is σ = 11179206904320. Its totient is φ = 572313600000.

The previous prime is 2558303999981. The next prime is 2558304000011. The reversal of 2558304000000 is 4038552.

2558304000000 is a `hidden beast` number, since 255 + 8 + 3 + 0 + 400 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54431999977 + ... + 54432000023.

It is an arithmetic number, because the mean of its divisors is an integer number (5545241520).

Almost surely, 2^{2558304000000} is an apocalyptic number.

2558304000000 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 2558304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589603452160).

2558304000000 is an abundant number, since it is smaller than the sum of its proper divisors (8620902904320).

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

2558304000000 is an frugal number, since it uses more digits than its factorization.

2558304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2558304000000 its reverse (4038552), we get a palindrome (2558308038552).

The spelling of 2558304000000 in words is "two trillion, five hundred fifty-eight billion, three hundred four million", and thus it is an aban number.