242543632800 has 288 divisors, whose sum is σ = 923247908352. Its totient is φ = 54149114880.

The previous prime is 242543632781. The next prime is 242543632813. The reversal of 242543632800 is 8236345242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554527 + ... + 890273.

It is an arithmetic number, because the mean of its divisors is an integer number (3205721904).

Almost surely, 2^242543632800 is an apocalyptic number.

242543632800 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 242543632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461623954176).

242543632800 is an abundant number, since it is smaller than the sum of its proper divisors (680704275552).

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

242543632800 is a wasteful number, since it uses less digits than its factorization.

242543632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335820 (or 335807 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 242543632800 in words is "two hundred forty-two billion, five hundred forty-three million, six hundred thirty-two thousand, eight hundred".