242240004020 has 48 divisors (see below), whose sum is σ = 591229860480. Its totient is φ = 81646022784.

The previous prime is 242240003963. The next prime is 242240004029. The reversal of 242240004020 is 20400042242.

242240004020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242240003983 and 242240004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242240004029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14655179 + ... + 14671698.

It is an arithmetic number, because the mean of its divisors is an integer number (12317288760).

Almost surely, 2^242240004020 is an apocalyptic number.

242240004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242240004020 is an abundant number, since it is smaller than the sum of its proper divisors (348989856460).

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

242240004020 is a wasteful number, since it uses less digits than its factorization.

242240004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29326952 (or 29326950 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242240004020 its reverse (20400042242), we get a palindrome (262640046262).

The spelling of 242240004020 in words is "two hundred forty-two billion, two hundred forty million, four thousand, twenty".