242800000 has 96 divisors (see below), whose sum is σ = 605586240. Its totient is φ = 96960000.

The previous prime is 242799959. The next prime is 242800003. The reversal of 242800000 is 8242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242800003) 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 11 ways as a sum of consecutive naturals, for example, 399697 + ... + 400303.

It is an arithmetic number, because the mean of its divisors is an integer number (6308190).

Almost surely, 2^242800000 is an apocalyptic number.

242800000 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 242800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

242800000 is an abundant number, since it is smaller than the sum of its proper divisors (362786240).

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

242800000 is an frugal number, since it uses more digits than its factorization.

242800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 242800000 is about 15582.0409446260. The cubic root of 242800000 is about 623.8538996109.

Adding to 242800000 its reverse (8242), we get a palindrome (242808242).

The spelling of 242800000 in words is "two hundred forty-two million, eight hundred thousand".