2586420 has 36 divisors (see below), whose sum is σ = 7846020. Its totient is φ = 689664.

The previous prime is 2586391. The next prime is 2586421. The reversal of 2586420 is 246852.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 1340964 = 1116^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7005 + ... + 7364.

It is an arithmetic number, because the mean of its divisors is an integer number (217945).

2^2586420 is an apocalyptic number.

2586420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2586420 is an abundant number, since it is smaller than the sum of its proper divisors (5259600).

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

2586420 is a wasteful number, since it uses less digits than its factorization.

2586420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384 (or 14379 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2586420 is about 1608.2350574465. The cubic root of 2586420 is about 137.2670656714.

The spelling of 2586420 in words is "two million, five hundred eighty-six thousand, four hundred twenty".