242044200020 has 192 divisors, whose sum is σ = 605869178880. Its totient is φ = 79480051200.

The previous prime is 242044199981. The next prime is 242044200077. The reversal of 242044200020 is 20002440242.

242044200020 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 = 242044199965 and 242044200001.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 366178490 + ... + 366179150.

It is an arithmetic number, because the mean of its divisors is an integer number (3155568640).

Almost surely, 2^242044200020 is an apocalyptic number.

242044200020 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 242044200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302934589440).

242044200020 is an abundant number, since it is smaller than the sum of its proper divisors (363824978860).

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

242044200020 is a wasteful number, since it uses less digits than its factorization.

242044200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1452 counting only the distinct ones).

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

Adding to 242044200020 its reverse (20002440242), we get a palindrome (262046640262).

It can be divided in two parts, 24204 and 4200020, that added together give a palindrome (4224224).

The spelling of 242044200020 in words is "two hundred forty-two billion, forty-four million, two hundred thousand, twenty".