242705203200 has 384 divisors, whose sum is σ = 891784551600. Its totient is φ = 64715489280.

The previous prime is 242705203187. The next prime is 242705203201. The reversal of 242705203200 is 2302507242.

242705203200 is a `hidden beast` number, since 2 + 42 + 70 + 520 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×242705203200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242705203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22112914 + ... + 22123886.

Almost surely, 2^242705203200 is an apocalyptic number.

242705203200 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 242705203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445892275800).

242705203200 is an abundant number, since it is smaller than the sum of its proper divisors (649079348400).

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

242705203200 is an equidigital number, since it uses as much as digits as its factorization.

242705203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 242705203200 in words is "two hundred forty-two billion, seven hundred five million, two hundred three thousand, two hundred".