242342214000 has 320 divisors, whose sum is σ = 816886287360. Its totient is φ = 61693209600.

The previous prime is 242342213957. The next prime is 242342214047. The reversal of 242342214000 is 412243242.

242342214000 is digitally balanced in base 2 and base 3, because in such bases 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 (24).

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, 85420582 + ... + 85423418.

It is an arithmetic number, because the mean of its divisors is an integer number (2552769648).

Almost surely, 2^242342214000 is an apocalyptic number.

242342214000 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 242342214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408443143680).

242342214000 is an abundant number, since it is smaller than the sum of its proper divisors (574544073360).

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

242342214000 is a wasteful number, since it uses less digits than its factorization.

242342214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242342214000 its reverse (412243242), we get a palindrome (242754457242).

The spelling of 242342214000 in words is "two hundred forty-two billion, three hundred forty-two million, two hundred fourteen thousand".