242240880 has 160 divisors (see below), whose sum is σ = 903513600. Its totient is φ = 52448256.

The previous prime is 242240849. The next prime is 242240881. The reversal of 242240880 is 88042242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242240881) 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, 28126 + ... + 35714.

It is an arithmetic number, because the mean of its divisors is an integer number (5646960).

Almost surely, 2^242240880 is an apocalyptic number.

242240880 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 242240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451756800).

242240880 is an abundant number, since it is smaller than the sum of its proper divisors (661272720).

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

242240880 is a wasteful number, since it uses less digits than its factorization.

242240880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 242240880 is about 15564.0894369057. The cubic root of 242240880 is about 623.3746611685.

The spelling of 242240880 in words is "two hundred forty-two million, two hundred forty thousand, eight hundred eighty".