242484738048 has 384 divisors, whose sum is σ = 825080256000. Its totient is φ = 68929781760.

The previous prime is 242484738037. The next prime is 242484738121. The reversal of 242484738048 is 840837484242.

242484738048 is a `hidden beast` number, since 2 + 42 + 484 + 7 + 3 + 80 + 48 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 242484737985 and 242484738003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81670708 + ... + 81673676.

It is an arithmetic number, because the mean of its divisors is an integer number (2148646500).

Almost surely, 2^242484738048 is an apocalyptic number.

242484738048 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 242484738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412540128000).

242484738048 is an abundant number, since it is smaller than the sum of its proper divisors (582595517952).

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

242484738048 is a wasteful number, since it uses less digits than its factorization.

242484738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 242484738048 in words is "two hundred forty-two billion, four hundred eighty-four million, seven hundred thirty-eight thousand, forty-eight".