2782114667 has 2 divisors, whose sum is σ = 2782114668. Its totient is φ = 2782114666.

The previous prime is 2782114627. The next prime is 2782114669. The reversal of 2782114667 is 7664112872.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2782114667 - 2⁶ = 2782114603 is a prime.

Together with 2782114669, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2782114669) 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, 1391057333 + 1391057334.

It is an arithmetic number, because the mean of its divisors is an integer number (1391057334).

Almost surely, 2^2782114667 is an apocalyptic number.

2782114667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782114667 is an equidigital number, since it uses as much as digits as its factorization.

2782114667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 225792, while the sum is 44.

The square root of 2782114667 is about 52745.7549666321. The cubic root of 2782114667 is about 1406.4523032422.

The spelling of 2782114667 in words is "two billion, seven hundred eighty-two million, one hundred fourteen thousand, six hundred sixty-seven".