242028259200 has 1920 divisors, whose sum is σ = 1138133821440. Its totient is φ = 49268736000.

The previous prime is 242028259133. The next prime is 242028259201. The reversal of 242028259200 is 2952820242.

242028259200 is a `hidden beast` number, since 2 + 42 + 0 + 28 + 2 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (242028259201) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 731203035 + ... + 731203365.

It is an arithmetic number, because the mean of its divisors is an integer number (592778032).

Almost surely, 2^242028259200 is an apocalyptic number.

242028259200 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 242028259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569066910720).

242028259200 is an abundant number, since it is smaller than the sum of its proper divisors (896105562240).

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

242028259200 is a wasteful number, since it uses less digits than its factorization.

242028259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 242028259200 in words is "two hundred forty-two billion, twenty-eight million, two hundred fifty-nine thousand, two hundred".