2586340 has 24 divisors (see below), whose sum is σ = 5496120. Its totient is φ = 1022208.

The previous prime is 2586313. The next prime is 2586341. The reversal of 2586340 is 436852.

It can be written as a sum of positive squares in 4 ways, for example, as 529984 + 2056356 = 728^2 + 1434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2586299 and 2586308.

It is not an unprimeable number, because it can be changed into a prime (2586341) 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 7 ways as a sum of consecutive naturals, for example, 1054 + ... + 2506.

It is an arithmetic number, because the mean of its divisors is an integer number (229005).

2^2586340 is an apocalyptic number.

2586340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2586340 is an abundant number, since it is smaller than the sum of its proper divisors (2909780).

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

2586340 is a wasteful number, since it uses less digits than its factorization.

2586340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2586340 is about 1608.2101852681. The cubic root of 2586340 is about 137.2656503974.

Adding to 2586340 its product of nonzero digits (5760), we get a square (2592100 = 1610²).

It can be divided in two parts, 2586 and 340, that added together give a triangular number (2926 = T₇₆).

The spelling of 2586340 in words is "two million, five hundred eighty-six thousand, three hundred forty".