242694816 has 144 divisors (see below), whose sum is σ = 788768064. Its totient is φ = 63977472.

The previous prime is 242694811. The next prime is 242694817. The reversal of 242694816 is 618496242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242694811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112500 + ... + 114636.

It is an arithmetic number, because the mean of its divisors is an integer number (5477556).

Almost surely, 2^242694816 is an apocalyptic number.

242694816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394384032).

242694816 is an abundant number, since it is smaller than the sum of its proper divisors (546073248).

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

242694816 is a wasteful number, since it uses less digits than its factorization.

242694816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2162 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 242694816 is about 15578.6654113887. The cubic root of 242694816 is about 623.7637994920.

The spelling of 242694816 in words is "two hundred forty-two million, six hundred ninety-four thousand, eight hundred sixteen".