2582160 has 160 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 559104.

The previous prime is 2582159. The next prime is 2582161. The reversal of 2582160 is 612852.

It is an interprime number because it is at equal distance from previous prime (2582159) and next prime (2582161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2582160.

It is not an unprimeable number, because it can be changed into a prime (2582161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48694 + ... + 48746.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2^2582160 is an apocalyptic number.

2582160 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 2582160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

2582160 is an abundant number, since it is smaller than the sum of its proper divisors (7060080).

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

2582160 is a wasteful number, since it uses less digits than its factorization.

2582160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2582160 is about 1606.9100783802. The cubic root of 2582160 is about 137.1916616975.

The spelling of 2582160 in words is "two million, five hundred eighty-two thousand, one hundred sixty".