2684 has 12 divisors (see below), whose sum is σ = 5208. Its totient is φ = 1200.

The previous prime is 2683. The next prime is 2687. The reversal of 2684 is 4862.

2684 is nontrivially palindromic in base 5.

2684 is an undulating number in base 11.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 74.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

It is an amenable number.

2684 is a deficient number, since it is larger than the sum of its proper divisors (2524).

2684 is a wasteful number, since it uses less digits than its factorization.

2684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 2684 is about 51.8073353880. The cubic root of 2684 is about 13.8972062774.

Adding to 2684 its sum of digits (20), we get a square (2704 = 52²).

It can be divided in two parts, 268 and 4, that added together give a palindrome (272).

The spelling of 2684 in words is "two thousand, six hundred eighty-four".