242850269088 has 288 divisors, whose sum is σ = 820970422272. Its totient is φ = 66632716800.

The previous prime is 242850269087. The next prime is 242850269093. The reversal of 242850269088 is 880962058242.

It is a happy number.

242850269088 is a `hidden beast` number, since 2 + 42 + 8 + 502 + 6 + 90 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×242850269088² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242850269083) 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 47 ways as a sum of consecutive naturals, for example, 8172145 + ... + 8201807.

It is an arithmetic number, because the mean of its divisors is an integer number (2850591744).

Almost surely, 2^242850269088 is an apocalyptic number.

242850269088 is a gapful number since it is divisible by the number (28) 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 242850269088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410485211136).

242850269088 is an abundant number, since it is smaller than the sum of its proper divisors (578120153184).

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

242850269088 is a wasteful number, since it uses less digits than its factorization.

242850269088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29848 (or 29837 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 242850269088 in words is "two hundred forty-two billion, eight hundred fifty million, two hundred sixty-nine thousand, eighty-eight".