2586960 has 60 divisors (see below), whose sum is σ = 8690292. Its totient is φ = 689664.

The previous prime is 2586959. The next prime is 2586967. The reversal of 2586960 is 696852.

2586960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 1710864 = 936^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 2516.

2^2586960 is an apocalyptic number.

2586960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2586960 is an abundant number, since it is smaller than the sum of its proper divisors (6103332).

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

2586960 is a wasteful number, since it uses less digits than its factorization.

2586960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2586960 is about 1608.4029345907. The cubic root of 2586960 is about 137.2766180072.

The spelling of 2586960 in words is "two million, five hundred eighty-six thousand, nine hundred sixty".