242576916480 has 288 divisors, whose sum is σ = 862555327200. Its totient is φ = 64682459136.

The previous prime is 242576916473. The next prime is 242576916503. The reversal of 242576916480 is 84619675242.

242576916480 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 76 + 91 + 6 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17687866 + ... + 17701574.

It is an arithmetic number, because the mean of its divisors is an integer number (2994983775).

Almost surely, 2^242576916480 is an apocalyptic number.

242576916480 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 242576916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431277663600).

242576916480 is an abundant number, since it is smaller than the sum of its proper divisors (619978410720).

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

242576916480 is an frugal number, since it uses more digits than its factorization.

242576916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 242576916480 in words is "two hundred forty-two billion, five hundred seventy-six million, nine hundred sixteen thousand, four hundred eighty".