2768067 has 16 divisors (see below), whose sum is σ = 4133280. Its totient is φ = 1830816.

The previous prime is 2768057. The next prime is 2768069. The reversal of 2768067 is 7608672.

2768067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2768067 - 2¹⁰ = 2767043 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

2768067 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2768069) 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 15 ways as a sum of consecutive naturals, for example, 3913 + ... + 4565.

It is an arithmetic number, because the mean of its divisors is an integer number (258330).

2^2768067 is an apocalyptic number.

2768067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2768067 is a deficient number, since it is larger than the sum of its proper divisors (1365213).

2768067 is a wasteful number, since it uses less digits than its factorization.

2768067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2768067 is about 1663.7508827947. The cubic root of 2768067 is about 140.4081118843.

The spelling of 2768067 in words is "two million, seven hundred sixty-eight thousand, sixty-seven".