242004816 has 30 divisors (see below), whose sum is σ = 677277770. Its totient is φ = 80668224.

The previous prime is 242004811. The next prime is 242004839. The reversal of 242004816 is 618400242.

242004816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 184851216 + 57153600 = 13596^2 + 7560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242004816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242004811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 840151 + ... + 840438.

Almost surely, 2^242004816 is an apocalyptic number.

It is an amenable number.

242004816 is an abundant number, since it is smaller than the sum of its proper divisors (435272954).

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

242004816 is a wasteful number, since it uses less digits than its factorization.

242004816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680603 (or 1680594 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 242004816 is about 15556.5039774366. The cubic root of 242004816 is about 623.1721022621.

The spelling of 242004816 in words is "two hundred forty-two million, four thousand, eight hundred sixteen".