242142816 has 48 divisors (see below), whose sum is σ = 636585264. Its totient is φ = 80592384.

The previous prime is 242142793. The next prime is 242142833. The reversal of 242142816 is 618241242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80410 + ... + 83366.

It is an arithmetic number, because the mean of its divisors is an integer number (13262193).

Almost surely, 2^242142816 is an apocalyptic number.

It is an amenable number.

242142816 is an abundant number, since it is smaller than the sum of its proper divisors (394442448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242142816 is a wasteful number, since it uses less digits than its factorization.

242142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3815 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 242142816 is about 15560.9387891605. The cubic root of 242142816 is about 623.2905315980.

The spelling of 242142816 in words is "two hundred forty-two million, one hundred forty-two thousand, eight hundred sixteen".