242585683840 has 128 divisors (see below), whose sum is σ = 608788224000. Its totient is φ = 92312094720.

The previous prime is 242585683831. The next prime is 242585683843. The reversal of 242585683840 is 48386585242.

242585683840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242585683843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066941 + ... + 1274179.

It is an arithmetic number, because the mean of its divisors is an integer number (4756158000).

Almost surely, 2^242585683840 is an apocalyptic number.

242585683840 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 242585683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304394112000).

242585683840 is an abundant number, since it is smaller than the sum of its proper divisors (366202540160).

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

242585683840 is a wasteful number, since it uses less digits than its factorization.

242585683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207348 (or 207336 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 55.

The spelling of 242585683840 in words is "two hundred forty-two billion, five hundred eighty-five million, six hundred eighty-three thousand, eight hundred forty".