2586240 has 96 divisors (see below), whose sum is σ = 8950500. Its totient is φ = 688128.

The previous prime is 2586209. The next prime is 2586253. The reversal of 2586240 is 426852.

2586240 is digitally balanced in base 5, 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 2585664 + 576 = 1608^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5536 + ... + 5984.

2^2586240 is an apocalyptic number.

2586240 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 2586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475250).

2586240 is an abundant number, since it is smaller than the sum of its proper divisors (6364260).

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

2586240 is a wasteful number, since it uses less digits than its factorization.

2586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 459 counting only the distinct ones).

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

The square root of 2586240 is about 1608.1790945041. The cubic root of 2586240 is about 137.2638812640.

The spelling of 2586240 in words is "two million, five hundred eighty-six thousand, two hundred forty".