242328240 has 640 divisors, whose sum is σ = 1097072640. Its totient is φ = 47692800.

The previous prime is 242328227. The next prime is 242328257. The reversal of 242328240 is 42823242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5155897 + ... + 5155943.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 2^242328240 is an apocalyptic number.

242328240 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 242328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548536320).

242328240 is an abundant number, since it is smaller than the sum of its proper divisors (854744400).

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

242328240 is a wasteful number, since it uses less digits than its factorization.

242328240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242328240 is about 15566.8956442831. The cubic root of 242328240 is about 623.4495886061.

The spelling of 242328240 in words is "two hundred forty-two million, three hundred twenty-eight thousand, two hundred forty".