242623613520 has 320 divisors, whose sum is σ = 860448142080. Its totient is φ = 62792755200.

The previous prime is 242623613501. The next prime is 242623613527. The reversal of 242623613520 is 25316326242.

242623613520 is a `hidden beast` number, since 2 + 4 + 2 + 623 + 6 + 1 + 3 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242623613527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33642715 + ... + 33649925.

It is an arithmetic number, because the mean of its divisors is an integer number (2688900444).

Almost surely, 2^242623613520 is an apocalyptic number.

242623613520 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 242623613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430224071040).

242623613520 is an abundant number, since it is smaller than the sum of its proper divisors (617824528560).

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

242623613520 is a wasteful number, since it uses less digits than its factorization.

242623613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7691 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 242623613520 its reverse (25316326242), we get a palindrome (267939939762).

The spelling of 242623613520 in words is "two hundred forty-two billion, six hundred twenty-three million, six hundred thirteen thousand, five hundred twenty".