2400381667 has 2 divisors, whose sum is σ = 2400381668. Its totient is φ = 2400381666.

The previous prime is 2400381619. The next prime is 2400381671. The reversal of 2400381667 is 7661830042.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2400381667 - 2⁷ = 2400381539 is a prime.

It is not a weakly prime, because it can be changed into another prime (2400321667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200190833 + 1200190834.

It is an arithmetic number, because the mean of its divisors is an integer number (1200190834).

Almost surely, 2^2400381667 is an apocalyptic number.

2400381667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400381667 is an equidigital number, since it uses as much as digits as its factorization.

2400381667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2400381667 is about 48993.6900733145. The cubic root of 2400381667 is about 1338.9368687541.

The spelling of 2400381667 in words is "two billion, four hundred million, three hundred eighty-one thousand, six hundred sixty-seven".