2756 has 12 divisors (see below), whose sum is σ = 5292. Its totient is φ = 1248.

The previous prime is 2753. The next prime is 2767. The reversal of 2756 is 6572.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 1600 = 34^2 + 40^2 .

Its product of digits (420) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2756.

It is not an unprimeable number, because it can be changed into a prime (2753) 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 in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 78.

It is an arithmetic number, because the mean of its divisors is an integer number (441).

2756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a pronic number, being equal to 52×53.

It is an amenable number.

2756 is a deficient number, since it is larger than the sum of its proper divisors (2536).

2756 is a wasteful number, since it uses less digits than its factorization.

2756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 68 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 2756 is about 52.4976189936. The cubic root of 2756 is about 14.0203784858.

The spelling of 2756 in words is "two thousand, seven hundred fifty-six".