242002667 has 12 divisors (see below), whose sum is σ = 262369800. Its totient is φ = 222441408.

The previous prime is 242002643. The next prime is 242002679. The reversal of 242002667 is 766200242.

It is not a de Polignac number, because 242002667 - 2⁶ = 242002603 is a prime.

It is a super-2 number, since 2×242002667² = 117130581670225778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242002627) 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 in 11 ways as a sum of consecutive naturals, for example, 27584 + ... + 35282.

It is an arithmetic number, because the mean of its divisors is an integer number (21864150).

Almost surely, 2^242002667 is an apocalyptic number.

242002667 is a deficient number, since it is larger than the sum of its proper divisors (20367133).

242002667 is an equidigital number, since it uses as much as digits as its factorization.

242002667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 242002667 is about 15556.4349064945. The cubic root of 242002667 is about 623.1702576696.

The spelling of 242002667 in words is "two hundred forty-two million, two thousand, six hundred sixty-seven".