2768289 has 8 divisors (see below), whose sum is σ = 3710400. Its totient is φ = 1835856.

The previous prime is 2768287. The next prime is 2768291. The reversal of 2768289 is 9828672.

It is a happy number.

2768289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2768287) and next prime (2768291).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2768289 - 2¹ = 2768287 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

2768289 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2768289.

It is not an unprimeable number, because it can be changed into a prime (2768287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (463800).

2^2768289 is an apocalyptic number.

It is an amenable number.

2768289 is a deficient number, since it is larger than the sum of its proper divisors (942111).

2768289 is a wasteful number, since it uses less digits than its factorization.

2768289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839.

The product of its digits is 96768, while the sum is 42.

The square root of 2768289 is about 1663.8175981760. The cubic root of 2768289 is about 140.4118653782.

The spelling of 2768289 in words is "two million, seven hundred sixty-eight thousand, two hundred eighty-nine".