242240000 has 100 divisors (see below), whose sum is σ = 605613954. Its totient is φ = 96768000.

The previous prime is 242239997. The next prime is 242240039. The reversal of 242240000 is 42242.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 6801664 + 235438336 = 2608^2 + 15344^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319622 + ... + 320378.

Almost surely, 2^242240000 is an apocalyptic number.

242240000 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 242240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302806977).

242240000 is an abundant number, since it is smaller than the sum of its proper divisors (363373954).

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

242240000 is an frugal number, since it uses more digits than its factorization.

242240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 242240000 is about 15564.0611666750. The cubic root of 242240000 is about 623.3739063133.

Adding to 242240000 its reverse (42242), we get a palindrome (242282242).

The spelling of 242240000 in words is "two hundred forty-two million, two hundred forty thousand".