242381808 has 120 divisors (see below), whose sum is σ = 726509056. Its totient is φ = 78148800.

The previous prime is 242381807. The next prime is 242381831. The reversal of 242381808 is 808183242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242381807) 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, 119523 + ... + 121533.

Almost surely, 2^242381808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242381808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363254528).

242381808 is an abundant number, since it is smaller than the sum of its proper divisors (484127248).

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

242381808 is a wasteful number, since it uses less digits than its factorization.

242381808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 242381808 is about 15568.6161234710. The cubic root of 242381808 is about 623.4955242167.

It can be divided in two parts, 24 and 2381808, that added together give a palindrome (2381832).

The spelling of 242381808 in words is "two hundred forty-two million, three hundred eighty-one thousand, eight hundred eight".