2586540 has 48 divisors (see below), whose sum is σ = 7902720. Its totient is φ = 626880.

The previous prime is 2586517. The next prime is 2586541. The reversal of 2586540 is 456852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2586498 and 2586507.

It is not an unprimeable number, because it can be changed into a prime (2586541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (164640).

2^2586540 is an apocalyptic number.

2586540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2586540 is an abundant number, since it is smaller than the sum of its proper divisors (5316180).

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

2586540 is a wasteful number, since it uses less digits than its factorization.

2586540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2586540 is about 1608.2723649929. The cubic root of 2586540 is about 137.2691885276.

The spelling of 2586540 in words is "two million, five hundred eighty-six thousand, five hundred forty".