2726766 has 96 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 684288.

The previous prime is 2726743. The next prime is 2726771. The reversal of 2726766 is 6676272.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2726766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40665 + ... + 40731.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

2^2726766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2726766 is an abundant number, since it is smaller than the sum of its proper divisors (4910994).

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

2726766 is a wasteful number, since it uses less digits than its factorization.

2726766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 115 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2726766 is about 1651.2922212619. The cubic root of 2726766 is about 139.7062890060.

The spelling of 2726766 in words is "two million, seven hundred twenty-six thousand, seven hundred sixty-six".