242097343488 has 1584 divisors, whose sum is σ = 1002998820096. Its totient is φ = 55180984320.

The previous prime is 242097343421. The next prime is 242097343489. The reversal of 242097343488 is 884343790242.

242097343488 is a `hidden beast` number, since 2 + 42 + 0 + 97 + 3 + 434 + 88 = 666.

242097343488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×242097343488² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242097343489) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1485259695 + ... + 1485259857.

Almost surely, 2^242097343488 is an apocalyptic number.

242097343488 is a gapful number since it is divisible by the number (28) 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 242097343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501499410048).

242097343488 is an abundant number, since it is smaller than the sum of its proper divisors (760901476608).

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

242097343488 is a wasteful number, since it uses less digits than its factorization.

242097343488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

It can be divided in two parts, 242097 and 343488, that added together give a palindrome (585585).

The spelling of 242097343488 in words is "two hundred forty-two billion, ninety-seven million, three hundred forty-three thousand, four hundred eighty-eight".