2580 has 24 divisors (see below), whose sum is σ = 7392. Its totient is φ = 672.

The previous prime is 2579. The next prime is 2591. The reversal of 2580 is 852.

Subtracting from 2580 its product of nonzero digits (80), we obtain a square (2500 = 50^{2}).

Subtracting from 2580 its reverse (852), we obtain a cube (1728 = 12^{3}).

It can be divided in two parts, 25 and 80, that added together give a triangular number (105 = T_{14}).

2580 = T_{5} + T_{6} + ... +
T_{24}.

2580 is a repfigit number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 39 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (308).

2580 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 2580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696).

2580 is an abundant number, since it is smaller than the sum of its proper divisors (4812).

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

2580 is a wasteful number, since it uses less digits than its factorization.

2580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2580 is about 50.7937003968. The cubic root of 2580 is about 13.7153397007.

The spelling of 2580 in words is "two thousand, five hundred eighty".

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