242097282790242 has 192 divisors, whose sum is σ = 568426457088000. Its totient is φ = 68491500739200.

The previous prime is 242097282790213. The next prime is 242097282790243.

242097282790242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×242097282790242² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242097282790243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260560117 + ... + 261487607.

It is an arithmetic number, because the mean of its divisors is an integer number (2960554464000).

Almost surely, 2^{242097282790242} is an apocalyptic number.

242097282790242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242097282790242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284213228544000).

242097282790242 is an abundant number, since it is smaller than the sum of its proper divisors (326329174297758).

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

242097282790242 is a wasteful number, since it uses less digits than its factorization.

242097282790242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927813 (or 927802 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 242097282790242 in words is "two hundred forty-two trillion, ninety-seven billion, two hundred eighty-two million, seven hundred ninety thousand, two hundred forty-two".