242552424000 has 224 divisors, whose sum is σ = 802134942336. Its totient is φ = 64581580800.

The previous prime is 242552423983. The next prime is 242552424017. The reversal of 242552424000 is 424255242.

It is an interprime number because it is at equal distance from previous prime (242552423983) and next prime (242552424017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16384602 + ... + 16399398.

It is an arithmetic number, because the mean of its divisors is an integer number (3580959564).

Almost surely, 2^242552424000 is an apocalyptic number.

242552424000 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 242552424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401067471168).

242552424000 is an abundant number, since it is smaller than the sum of its proper divisors (559582518336).

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

242552424000 is a wasteful number, since it uses less digits than its factorization.

242552424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15510 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 242552424000 its reverse (424255242), we get a palindrome (242976679242).

The spelling of 242552424000 in words is "two hundred forty-two billion, five hundred fifty-two million, four hundred twenty-four thousand".