242010926080 has 704 divisors, whose sum is σ = 761322074112. Its totient is φ = 71628226560.

The previous prime is 242010926029. The next prime is 242010926167. The reversal of 242010926080 is 80629010242.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685583184 + ... + 685583536.

Almost surely, 2^242010926080 is an apocalyptic number.

242010926080 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 242010926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380661037056).

242010926080 is an abundant number, since it is smaller than the sum of its proper divisors (519311148032).

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

242010926080 is a wasteful number, since it uses less digits than its factorization.

242010926080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 242010926080 in words is "two hundred forty-two billion, ten million, nine hundred twenty-six thousand, eighty".