2123456767 has 2 divisors, whose sum is σ = 2123456768. Its totient is φ = 2123456766.

The previous prime is 2123456749. The next prime is 2123456771. The reversal of 2123456767 is 7676543212.

2123456767 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2123456767 - 2¹¹ = 2123454719 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123456717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061728383 + 1061728384.

It is an arithmetic number, because the mean of its divisors is an integer number (1061728384).

Almost surely, 2^2123456767 is an apocalyptic number.

2123456767 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123456767 is an equidigital number, since it uses as much as digits as its factorization.

2123456767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 423360, while the sum is 43.

The square root of 2123456767 is about 46080.9805342725. The cubic root of 2123456767 is about 1285.3294974806.

Adding to 2123456767 its reverse (7676543212), we get a palindrome (9799999979).

The spelling of 2123456767 in words is "two billion, one hundred twenty-three million, four hundred fifty-six thousand, seven hundred sixty-seven".