2586880 has 72 divisors (see below), whose sum is σ = 6475392. Its totient is φ = 989184.

The previous prime is 2586853. The next prime is 2586911. The reversal of 2586880 is 886852.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55017 + ... + 55063.

It is an arithmetic number, because the mean of its divisors is an integer number (89936).

2^2586880 is an apocalyptic number.

2586880 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 2586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237696).

2586880 is an abundant number, since it is smaller than the sum of its proper divisors (3888512).

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

2586880 is an equidigital number, since it uses as much as digits as its factorization.

2586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 2586880 is about 1608.3780650083. The cubic root of 2586880 is about 137.2752029302.

The spelling of 2586880 in words is "two million, five hundred eighty-six thousand, eight hundred eighty".