242913605760 has 768 divisors, whose sum is σ = 1007084482560. Its totient is φ = 52750393344.

The previous prime is 242913605749. The next prime is 242913605791. The reversal of 242913605760 is 67506319242.

242913605760 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 13 + 60 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 151158877 + ... + 151160483.

It is an arithmetic number, because the mean of its divisors is an integer number (1311307920).

Almost surely, 2^242913605760 is an apocalyptic number.

242913605760 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 242913605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503542241280).

242913605760 is an abundant number, since it is smaller than the sum of its proper divisors (764170876800).

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

242913605760 is a wasteful number, since it uses less digits than its factorization.

242913605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 242913605760 in words is "two hundred forty-two billion, nine hundred thirteen million, six hundred five thousand, seven hundred sixty".