242842844160 has 264 divisors, whose sum is σ = 961651712736. Its totient is φ = 55506862080.

The previous prime is 242842844093. The next prime is 242842844177. The reversal of 242842844160 is 61448248242.

242842844160 is a `hidden beast` number, since 2 + 4 + 28 + 428 + 44 + 160 = 666.

It is a super-2 number, since 2×242842844160² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53871 + ... + 698990.

It is an arithmetic number, because the mean of its divisors is an integer number (3642620124).

Almost surely, 2^242842844160 is an apocalyptic number.

242842844160 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 242842844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480825856368).

242842844160 is an abundant number, since it is smaller than the sum of its proper divisors (718808868576).

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

242842844160 is a wasteful number, since it uses less digits than its factorization.

242842844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752899 (or 752878 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 242842844160 in words is "two hundred forty-two billion, eight hundred forty-two million, eight hundred forty-four thousand, one hundred sixty".