242256769920 has 1536 divisors, whose sum is σ = 1016249794560. Its totient is φ = 54560563200.

The previous prime is 242256769919. The next prime is 242256769949. The reversal of 242256769920 is 29967652242.

242256769920 is a `hidden beast` number, since 242 + 256 + 7 + 69 + 92 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1849288255 + ... + 1849288385.

It is an arithmetic number, because the mean of its divisors is an integer number (661620960).

Almost surely, 2^242256769920 is an apocalyptic number.

242256769920 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 242256769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508124897280).

242256769920 is an abundant number, since it is smaller than the sum of its proper divisors (773993024640).

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

242256769920 is a wasteful number, since it uses less digits than its factorization.

242256769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 242256769920 in words is "two hundred forty-two billion, two hundred fifty-six million, seven hundred sixty-nine thousand, nine hundred twenty".