242896050892800 has 936 divisors, whose sum is σ = 898569638201664. Its totient is φ = 62673583472640.

The previous prime is 242896050892777. The next prime is 242896050892801. The reversal of 242896050892800 is 8298050698242.

242896050892800 is a `hidden beast` number, since 2 + 42 + 8 + 9 + 6 + 0 + 508 + 9 + 2 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (242896050892801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4240252959 + ... + 4240310241.

It is an arithmetic number, because the mean of its divisors is an integer number (960010297224).

Almost surely, 2^{242896050892800} is an apocalyptic number.

242896050892800 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 242896050892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449284819100832).

242896050892800 is an abundant number, since it is smaller than the sum of its proper divisors (655673587308864).

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

242896050892800 is a wasteful number, since it uses less digits than its factorization.

242896050892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57473 (or 57443 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 242896050892800 in words is "two hundred forty-two trillion, eight hundred ninety-six billion, fifty million, eight hundred ninety-two thousand, eight hundred".