242585682960 has 160 divisors (see below), whose sum is σ = 767182897152. Its totient is φ = 63395745280.

The previous prime is 242585682949. The next prime is 242585682967. The reversal of 242585682960 is 69286585242.

It is a self number, because there is not a number n which added to its sum of digits gives 242585682960.

It is not an unprimeable number, because it can be changed into a prime (242585682967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2803057 + ... + 2888303.

Almost surely, 2^242585682960 is an apocalyptic number.

242585682960 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 242585682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383591448576).

242585682960 is an abundant number, since it is smaller than the sum of its proper divisors (524597214192).

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

242585682960 is a wasteful number, since it uses less digits than its factorization.

242585682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85501 (or 85495 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 242585682960 in words is "two hundred forty-two billion, five hundred eighty-five million, six hundred eighty-two thousand, nine hundred sixty".