2583040 has 40 divisors (see below), whose sum is σ = 6199380. Its totient is φ = 1032192.

The previous prime is 2583029. The next prime is 2583083. The reversal of 2583040 is 403852.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 73984 = 1584^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2056 + ... + 3064.

2^2583040 is an apocalyptic number.

2583040 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 2583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099690).

2583040 is an abundant number, since it is smaller than the sum of its proper divisors (3616340).

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

2583040 is an equidigital number, since it uses as much as digits as its factorization.

2583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2583040 is about 1607.1838724925. The cubic root of 2583040 is about 137.2072448979.

Adding to 2583040 its reverse (403852), we get a palindrome (2986892).

The spelling of 2583040 in words is "two million, five hundred eighty-three thousand, forty".