2766096 has 80 divisors (see below), whose sum is σ = 8382400. Its totient is φ = 870912.

The previous prime is 2766059. The next prime is 2766109. The reversal of 2766096 is 6906672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2766096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8040 + ... + 8376.

It is an arithmetic number, because the mean of its divisors is an integer number (104780).

2^2766096 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 2766096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191200).

2766096 is an abundant number, since it is smaller than the sum of its proper divisors (5616304).

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

2766096 is a wasteful number, since it uses less digits than its factorization.

2766096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2766096 is about 1663.1584410392. The cubic root of 2766096 is about 140.3747781416.

It can be divided in two parts, 27660 and 96, that multiplied together give a triangular number (2655360 = T₂₃₀₄).

The spelling of 2766096 in words is "two million, seven hundred sixty-six thousand, ninety-six".