2584120 has 64 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 804480.

The previous prime is 2584111. The next prime is 2584147. The reversal of 2584120 is 214852.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2584091 and 2584100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2661 + ... + 3499.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

2^2584120 is an apocalyptic number.

2584120 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 2584120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2584120 is an abundant number, since it is smaller than the sum of its proper divisors (4673480).

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

2584120 is a wasteful number, since it uses less digits than its factorization.

2584120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2584120 is about 1607.5198288046. The cubic root of 2584120 is about 137.2263648982.

Adding to 2584120 its reverse (214852), we get a palindrome (2798972).

It can be divided in two parts, 2584 and 120, that added together give a square (2704 = 52²).

The spelling of 2584120 in words is "two million, five hundred eighty-four thousand, one hundred twenty".