242401331020 has 24 divisors (see below), whose sum is σ = 511886617200. Its totient is φ = 96418852032.

The previous prime is 242401330979. The next prime is 242401331027. The reversal of 242401331020 is 20133104242.

242401331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242401331020² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242401330982 and 242401331000.

It is not an unprimeable number, because it can be changed into a prime (242401331027) 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 7 ways as a sum of consecutive naturals, for example, 33851355 + ... + 33858514.

It is an arithmetic number, because the mean of its divisors is an integer number (21328609050).

Almost surely, 2^242401331020 is an apocalyptic number.

242401331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242401331020 is an abundant number, since it is smaller than the sum of its proper divisors (269485286180).

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

242401331020 is a wasteful number, since it uses less digits than its factorization.

242401331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67710057 (or 67710055 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 242401331020 its reverse (20133104242), we get a palindrome (262534435262).

The spelling of 242401331020 in words is "two hundred forty-two billion, four hundred one million, three hundred thirty-one thousand, twenty".