242445004020 has 36 divisors (see below), whose sum is σ = 735416512740. Its totient is φ = 64652001024.

The previous prime is 242445003971. The next prime is 242445004111. The reversal of 242445004020 is 20400544242.

242445004020 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 2 ways, for example, as 148522368996 + 93922635024 = 385386^2 + 306468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673458165 + ... + 673458524.

It is an arithmetic number, because the mean of its divisors is an integer number (20428236465).

Almost surely, 2^242445004020 is an apocalyptic number.

242445004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242445004020 is an abundant number, since it is smaller than the sum of its proper divisors (492971508720).

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

242445004020 is a wasteful number, since it uses less digits than its factorization.

242445004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346916704 (or 1346916699 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 242445004020 its reverse (20400544242), we get a palindrome (262845548262).

The spelling of 242445004020 in words is "two hundred forty-two billion, four hundred forty-five million, four thousand, twenty".