242005051080 has 1008 divisors, whose sum is σ = 954246644820. Its totient is φ = 54873427968.

The previous prime is 242005051051. The next prime is 242005051103. The reversal of 242005051080 is 80150500242.

It is a happy number.

242005051080 is a `hidden beast` number, since 2 + 4 + 20 + 0 + 50 + 510 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 128062348164 + 113942702916 = 357858^2 + 337554^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5149043617 + ... + 5149043663.

Almost surely, 2^242005051080 is an apocalyptic number.

242005051080 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 242005051080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477123322410).

242005051080 is an abundant number, since it is smaller than the sum of its proper divisors (712241593740).

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

242005051080 is a wasteful number, since it uses less digits than its factorization.

242005051080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 242005051080 in words is "two hundred forty-two billion, five million, fifty-one thousand, eighty".