2766792 has 64 divisors (see below), whose sum is σ = 8110080. Its totient is φ = 770112.

The previous prime is 2766791. The next prime is 2766793. The reversal of 2766792 is 2976672.

2766792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2766791) and next prime (2766793).

It is an Ulam number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2766792.

It is not an unprimeable number, because it can be changed into a prime (2766791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7033 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (126720).

2^2766792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055040).

2766792 is an abundant number, since it is smaller than the sum of its proper divisors (5343288).

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

2766792 is a wasteful number, since it uses less digits than its factorization.

2766792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 2766792 is about 1663.3676683163. The cubic root of 2766792 is about 140.3865507689.

The spelling of 2766792 in words is "two million, seven hundred sixty-six thousand, seven hundred ninety-two".