242336880 has 160 divisors (see below), whose sum is σ = 841374720. Its totient is φ = 64108800.

The previous prime is 242336851. The next prime is 242336881. The reversal of 242336880 is 88633242.

242336880 is a `hidden beast` number, since 242 + 336 + 8 + 80 = 666.

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 (242336881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325789 + ... + 326531.

It is an arithmetic number, because the mean of its divisors is an integer number (5258592).

Almost surely, 2^242336880 is an apocalyptic number.

242336880 is a gapful number since it is divisible by the number (20) 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 242336880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420687360).

242336880 is an abundant number, since it is smaller than the sum of its proper divisors (599037840).

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

242336880 is a wasteful number, since it uses less digits than its factorization.

242336880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 242336880 is about 15567.1731537874. The cubic root of 242336880 is about 623.4569980334.

It can be divided in two parts, 24233 and 6880, that added together give a palindrome (31113).

The spelling of 242336880 in words is "two hundred forty-two million, three hundred thirty-six thousand, eight hundred eighty".