2558160 has 240 divisors, whose sum is σ = 10445760. Its totient is φ = 552960.

The previous prime is 2558137. The next prime is 2558173. The reversal of 2558160 is 618552.

2558160 is a `hidden beast` number, since 25 + 581 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134631 + ... + 134649.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

2^2558160 is an apocalyptic number.

2558160 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 2558160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

2558160 is an abundant number, since it is smaller than the sum of its proper divisors (7887600).

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

2558160 is a wasteful number, since it uses less digits than its factorization.

2558160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

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

The square root of 2558160 is about 1599.4248966425. The cubic root of 2558160 is about 136.7652933398.

It can be divided in two parts, 25 and 58160, that added together give a palindrome (58185).

The spelling of 2558160 in words is "two million, five hundred fifty-eight thousand, one hundred sixty".