2516 has 12 divisors (see below), whose sum is σ = 4788. Its totient is φ = 1152.

The previous prime is 2503. The next prime is 2521. The reversal of 2516 is 6152.

2516 = T₈ + T₉ + ... + T₂₄.

2516 is nontrivially palindromic in base 15.

2516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2516 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 400 = 46^2 + 20^2 .

2516 is an undulating number in base 15.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2516.

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, 50 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

It is an amenable number.

2516 is a deficient number, since it is larger than the sum of its proper divisors (2272).

2516 is a wasteful number, since it uses less digits than its factorization.

2516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 56 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 2516 is about 50.1597448159. The cubic root of 2516 is about 13.6009803215.

Adding to 2516 its reverse (6152), we get a palindrome (8668).

It can be divided in two parts, 25 and 16, that multiplied together give a square (400 = 20²).

The spelling of 2516 in words is "two thousand, five hundred sixteen".