2583488 has 28 divisors (see below), whose sum is σ = 5269992. Its totient is φ = 1255680.

The previous prime is 2583467. The next prime is 2583491. The reversal of 2583488 is 8843852.

2583488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2583488³ = 51729776333970210816, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1823 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (188214).

2^2583488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2583488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634996).

2583488 is an abundant number, since it is smaller than the sum of its proper divisors (2686504).

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

2583488 is a wasteful number, since it uses less digits than its factorization.

2583488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 2583488 is about 1607.3232406706. The cubic root of 2583488 is about 137.2151768040.

The spelling of 2583488 in words is "two million, five hundred eighty-three thousand, four hundred eighty-eight".