2768 has 10 divisors (see below), whose sum is σ = 5394. Its totient is φ = 1376.

The previous prime is 2767. The next prime is 2777. The reversal of 2768 is 8672.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 64 = 52^2 + 8^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 71 + ... + 102.

2²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

2768 is a deficient number, since it is larger than the sum of its proper divisors (2626).

2768 is a wasteful number, since it uses less digits than its factorization.

2768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 2768 is about 52.6117857519. The cubic root of 2768 is about 14.0406979034.

The spelling of 2768 in words is "two thousand, seven hundred sixty-eight".