2766320 has 40 divisors (see below), whose sum is σ = 6502560. Its totient is φ = 1094400.

The previous prime is 2766317. The next prime is 2766329. The reversal of 2766320 is 236672.

2766320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2766320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766329) 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 7 ways as a sum of consecutive naturals, for example, 11966 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (162564).

2^2766320 is an apocalyptic number.

2766320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251280).

2766320 is an abundant number, since it is smaller than the sum of its proper divisors (3736240).

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

2766320 is a wasteful number, since it uses less digits than its factorization.

2766320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 2766320 is about 1663.2257814260. The cubic root of 2766320 is about 140.3785672486.

The spelling of 2766320 in words is "two million, seven hundred sixty-six thousand, three hundred twenty".