242497126080 has 980 divisors, whose sum is σ = 965758098960. Its totient is φ = 57959193600.

The previous prime is 242497126073. The next prime is 242497126111. The reversal of 242497126080 is 80621794242.

242497126080 is a `hidden beast` number, since 2 + 4 + 24 + 9 + 7 + 12 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3415452445 + ... + 3415452515.

Almost surely, 2^242497126080 is an apocalyptic number.

242497126080 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 242497126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482879049480).

242497126080 is an abundant number, since it is smaller than the sum of its proper divisors (723260972880).

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

242497126080 is an frugal number, since it uses more digits than its factorization.

242497126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 242497126080 in words is "two hundred forty-two billion, four hundred ninety-seven million, one hundred twenty-six thousand, eighty".