242776545760224 has 72 divisors (see below), whose sum is σ = 789023773727280. Its totient is φ = 69364727359488.

The previous prime is 242776545760169. The next prime is 242776545760237. The reversal of 242776545760224 is 422067545677242.

242776545760224 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 7 + 6 + 54 + 576 + 0 + 2 + 2 + 4 = 666.

242776545760224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×242776545760224² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60212434929 + ... + 60212438960.

It is an arithmetic number, because the mean of its divisors is an integer number (10958663523990).

Almost surely, 2^{242776545760224} is an apocalyptic number.

242776545760224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242776545760224 is an abundant number, since it is smaller than the sum of its proper divisors (546247227967056).

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

242776545760224 is a wasteful number, since it uses less digits than its factorization.

242776545760224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120424873912 (or 120424873901 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 63.

The spelling of 242776545760224 in words is "two hundred forty-two trillion, seven hundred seventy-six billion, five hundred forty-five million, seven hundred sixty thousand, two hundred twenty-four".