242012422080 has 560 divisors, whose sum is σ = 1011399881184. Its totient is φ = 54155796480.

The previous prime is 242012422061. The next prime is 242012422111. The reversal of 242012422080 is 80224210242.

242012422080 is a `hidden beast` number, since 2 + 420 + 12 + 4 + 220 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 3673914 + ... + 3739206.

Almost surely, 2^242012422080 is an apocalyptic number.

242012422080 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 242012422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505699940592).

242012422080 is an abundant number, since it is smaller than the sum of its proper divisors (769387459104).

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

242012422080 is a wasteful number, since it uses less digits than its factorization.

242012422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65346 (or 65327 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 242012422080 in words is "two hundred forty-two billion, twelve million, four hundred twenty-two thousand, eighty".