242445934080 has 1600 divisors, whose sum is σ = 1069485120000. Its totient is φ = 51263373312.

The previous prime is 242445934013. The next prime is 242445934117. The reversal of 242445934080 is 80439544242.

242445934080 is a `hidden beast` number, since 2 + 4 + 2 + 445 + 93 + 40 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1627153846 + ... + 1627153994.

It is an arithmetic number, because the mean of its divisors is an integer number (668428200).

Almost surely, 2^242445934080 is an apocalyptic number.

242445934080 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 242445934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534742560000).

242445934080 is an abundant number, since it is smaller than the sum of its proper divisors (827039185920).

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

242445934080 is a wasteful number, since it uses less digits than its factorization.

242445934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 242445934080 in words is "two hundred forty-two billion, four hundred forty-five million, nine hundred thirty-four thousand, eighty".