242420273600 has 168 divisors, whose sum is σ = 613275497856. Its totient is φ = 94259200000.

The previous prime is 242420273549. The next prime is 242420273651. The reversal of 242420273600 is 6372024242.

242420273600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242420273549) and next prime (242420273651).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 18427025 + ... + 18440175.

It is an arithmetic number, because the mean of its divisors is an integer number (3650449392).

Almost surely, 2^242420273600 is an apocalyptic number.

242420273600 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 242420273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306637748928).

242420273600 is an abundant number, since it is smaller than the sum of its proper divisors (370855224256).

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

242420273600 is a wasteful number, since it uses less digits than its factorization.

242420273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13495 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

Adding to 242420273600 its reverse (6372024242), we get a palindrome (248792297842).

The spelling of 242420273600 in words is "two hundred forty-two billion, four hundred twenty million, two hundred seventy-three thousand, six hundred".