242020000 has 60 divisors (see below), whose sum is σ = 595454706. Its totient is φ = 96800000.

The previous prime is 242019991. The next prime is 242020057. The reversal of 242020000 is 20242.

It is a happy number.

242020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 54110736 + 187909264 = 7356^2 + 13708^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 13950 + ... + 26050.

Almost surely, 2^242020000 is an apocalyptic number.

242020000 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 242020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297727353).

242020000 is an abundant number, since it is smaller than the sum of its proper divisors (353434706).

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

242020000 is an equidigital number, since it uses as much as digits as its factorization.

242020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 242020000 is about 15556.9919971696. The cubic root of 242020000 is about 623.1851351257.

Adding to 242020000 its reverse (20242), we get a palindrome (242040242).

The spelling of 242020000 in words is "two hundred forty-two million, twenty thousand".