2586220 has 96 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 790272.

The previous prime is 2586209. The next prime is 2586253. The reversal of 2586220 is 226852.

2586220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

2586220 is a Rhonda number in base 6.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 89166 + ... + 89194.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

2^2586220 is an apocalyptic number.

2586220 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 2586220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2586220 is an abundant number, since it is smaller than the sum of its proper divisors (4469780).

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

2586220 is a wasteful number, since it uses less digits than its factorization.

2586220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2586220 is about 1608.1728762792. The cubic root of 2586220 is about 137.2635274318.

The spelling of 2586220 in words is "two million, five hundred eighty-six thousand, two hundred twenty".