2584 has 16 divisors (see below), whose sum is σ = 5400. Its totient is φ = 1152.

The previous prime is 2579. The next prime is 2591. The reversal of 2584 is 4852.

2584 divided by its sum of digits (19) gives a triangular number (136 = T_{16}).

It can be divided in two parts, 258 and 4, that added together give a palindrome (262).

2584 = T_{40} + T_{41} +
T_{42}.

2584 = 7^{3} + 8^{3} + ... + 10^{3}.

It is a happy number.

It is the 17-th Fibonacci number F_{17}.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

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, 127 + ... + 145.

2584 is the 42-nd centered triangular number.

It is an amenable number.

2584 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700).

2584 is a wasteful number, since it uses less digits than its factorization.

2584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 38 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 2584 is about 50.8330601086. The cubic root of 2584 is about 13.7224240717.

The spelling of 2584 in words is "two thousand, five hundred eighty-four".

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