2768805 has 24 divisors (see below), whose sum is σ = 5169528. Its totient is φ = 1362816.

The previous prime is 2768803. The next prime is 2768819. The reversal of 2768805 is 5088672.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 2762244 = 81^2 + 1662^2 .

It is not a de Polignac number, because 2768805 - 2¹ = 2768803 is a prime.

It is a super-2 number, since 2×2768805² = 15332562256050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2768805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (215397).

2^2768805 is an apocalyptic number.

It is an amenable number.

2768805 is a deficient number, since it is larger than the sum of its proper divisors (2400723).

2768805 is a wasteful number, since it uses less digits than its factorization.

2768805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2768805 is about 1663.9726560253. The cubic root of 2768805 is about 140.4205889401.

The spelling of 2768805 in words is "two million, seven hundred sixty-eight thousand, eight hundred five".