242354880 has 336 divisors, whose sum is σ = 906597120. Its totient is φ = 59222016.

The previous prime is 242354867. The next prime is 242354881. The reversal of 242354880 is 88453242.

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 (242354881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2352909 + ... + 2353011.

Almost surely, 2^242354880 is an apocalyptic number.

242354880 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 242354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453298560).

242354880 is an abundant number, since it is smaller than the sum of its proper divisors (664242240).

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

242354880 is a wasteful number, since it uses less digits than its factorization.

242354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 242354880 is about 15567.7512826998. The cubic root of 242354880 is about 623.4724337747.

The spelling of 242354880 in words is "two hundred forty-two million, three hundred fifty-four thousand, eight hundred eighty".