2782305 has 24 divisors (see below), whose sum is σ = 5107752. Its totient is φ = 1396224.

The previous prime is 2782291. The next prime is 2782319. The reversal of 2782305 is 5032872.

It is an interprime number because it is at equal distance from previous prime (2782291) and next prime (2782319).

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 2712609 = 264^2 + 1647^2 .

It is not a de Polignac number, because 2782305 - 2⁸ = 2782049 is a prime.

It is a super-2 number, since 2×2782305² = 15482442226050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054 + ... + 2583.

It is an arithmetic number, because the mean of its divisors is an integer number (212823).

2^2782305 is an apocalyptic number.

It is an amenable number.

2782305 is a deficient number, since it is larger than the sum of its proper divisors (2325447).

2782305 is a wasteful number, since it uses less digits than its factorization.

2782305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2782305 is about 1668.0242803988. The cubic root of 2782305 is about 140.6484375750.

The spelling of 2782305 in words is "two million, seven hundred eighty-two thousand, three hundred five".