242070088896 has 140 divisors (see below), whose sum is σ = 720708611920. Its totient is φ = 80337277440.

The previous prime is 242070088891. The next prime is 242070088913. The reversal of 242070088896 is 698880070242.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242070088891) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1085181 + ... + 1289091.

Almost surely, 2^242070088896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242070088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360354305960).

242070088896 is an abundant number, since it is smaller than the sum of its proper divisors (478638523024).

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

242070088896 is a wasteful number, since it uses less digits than its factorization.

242070088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204164 (or 204145 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 242070088896 in words is "two hundred forty-two billion, seventy million, eighty-eight thousand, eight hundred ninety-six".