2558160000 has 960 divisors, whose sum is σ = 11184544800. Its totient is φ = 552960000.

The previous prime is 2558159971. The next prime is 2558160013. The reversal of 2558160000 is 618552.

2558160000 is a `hidden beast` number, since 2 + 5 + 58 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134639991 + ... + 134640009.

Almost surely, 2^2558160000 is an apocalyptic number.

2558160000 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 2558160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592272400).

2558160000 is an abundant number, since it is smaller than the sum of its proper divisors (8626384800).

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

2558160000 is a wasteful number, since it uses less digits than its factorization.

2558160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2558160000 is about 50578.2561976982. The cubic root of 2558160000 is about 1367.6529333979.

Adding to 2558160000 its reverse (618552), we get a palindrome (2558778552).

The spelling of 2558160000 in words is "two billion, five hundred fifty-eight million, one hundred sixty thousand".