242210105340000 has 240 divisors, whose sum is σ = 907997244473088. Its totient is φ = 55362309696000.

The previous prime is 242210105339921. The next prime is 242210105340001. The reversal of 242210105340000 is 43501012242.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242210105340001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287925364 + ... + 288765363.

Almost surely, 2^{242210105340000} is an apocalyptic number.

242210105340000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242210105340000 is an abundant number, since it is smaller than the sum of its proper divisors (665787139133088).

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

242210105340000 is an equidigital number, since it uses as much as digits as its factorization.

242210105340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576690767 (or 576690744 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 242210105340000 its reverse (43501012242), we get a palindrome (242253606352242).

The spelling of 242210105340000 in words is "two hundred forty-two trillion, two hundred ten billion, one hundred five million, three hundred forty thousand".