2583240 has 128 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 587520.

The previous prime is 2583239. The next prime is 2583241. The reversal of 2583240 is 423852.

2583240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2583239) and next prime (2583241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2583240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583241) 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 31 ways as a sum of consecutive naturals, for example, 25029 + ... + 25131.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

2^2583240 is an apocalyptic number.

2583240 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 2583240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

2583240 is an abundant number, since it is smaller than the sum of its proper divisors (6402360).

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

2583240 is a wasteful number, since it uses less digits than its factorization.

2583240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2583240 is about 1607.2460919225. The cubic root of 2583240 is about 137.2107860407.

The spelling of 2583240 in words is "two million, five hundred eighty-three thousand, two hundred forty".