242295389784 has 384 divisors, whose sum is σ = 806682240000. Its totient is φ = 64158262272.

The previous prime is 242295389761. The next prime is 242295389797. The reversal of 242295389784 is 487983592242.

242295389784 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 9 + 538 + 97 + 8 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 304008874 + ... + 304009670.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735000).

Almost surely, 2^242295389784 is an apocalyptic number.

242295389784 is a gapful number since it is divisible by the number (24) 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 242295389784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120000).

242295389784 is an abundant number, since it is smaller than the sum of its proper divisors (564386850216).

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

242295389784 is a wasteful number, since it uses less digits than its factorization.

242295389784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1480 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 242295389784 in words is "two hundred forty-two billion, two hundred ninety-five million, three hundred eighty-nine thousand, seven hundred eighty-four".