2766 has 8 divisors (see below), whose sum is σ = 5544. Its totient is φ = 920.

The previous prime is 2753. The next prime is 2767. The reversal of 2766 is 6672.

2766 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

2766 is an admirable number.

2766 is strictly pandigital in base 5.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

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

2766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 225 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (693).

2²⁷⁶⁶ is an apocalyptic number.

2766 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772).

2766 is a wasteful number, since it uses less digits than its factorization.

2766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its digits is 504, while the sum is 21.

The square root of 2766 is about 52.5927751692. The cubic root of 2766 is about 14.0373154176.

It can be divided in two parts, 276 and 6, that added together give a palindrome (282).

The spelling of 2766 in words is "two thousand, seven hundred sixty-six".