2765984 has 48 divisors (see below), whose sum is σ = 6015240. Its totient is φ = 1244160.

The previous prime is 2765977. The next prime is 2766007. The reversal of 2765984 is 4895672.

It can be written as a sum of positive squares in 4 ways, for example, as 1373584 + 1392400 = 1172^2 + 1180^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25322 + ... + 25430.

2^2765984 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 2765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007620).

2765984 is an abundant number, since it is smaller than the sum of its proper divisors (3249256).

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

2765984 is a wasteful number, since it uses less digits than its factorization.

2765984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 2765984 is about 1663.1247698234. The cubic root of 2765984 is about 140.3728835113.

The spelling of 2765984 in words is "two million, seven hundred sixty-five thousand, nine hundred eighty-four".