2765440 has 64 divisors (see below), whose sum is σ = 6885000. Its totient is φ = 1060864.

The previous prime is 2765437. The next prime is 2765453. The reversal of 2765440 is 445672.

2765440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 1065024 = 1304^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 2⁷ + 7⁷ + 6⁸ + 5 + 4 + 4⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2765399 and 2765408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18486 + ... + 18634.

2^2765440 is an apocalyptic number.

2765440 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 2765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442500).

2765440 is an abundant number, since it is smaller than the sum of its proper divisors (4119560).

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

2765440 is a wasteful number, since it uses less digits than its factorization.

2765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2765440 is about 1662.9612142200. The cubic root of 2765440 is about 140.3636802940.

The spelling of 2765440 in words is "two million, seven hundred sixty-five thousand, four hundred forty".