242470126080 has 960 divisors, whose sum is σ = 1079154679680. Its totient is φ = 51149242368.

The previous prime is 242470126079. The next prime is 242470126103. The reversal of 242470126080 is 80621074242.

242470126080 is a `hidden beast` number, since 2 + 4 + 2 + 47 + 0 + 1 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44026687 + ... + 44032193.

It is an arithmetic number, because the mean of its divisors is an integer number (1124119458).

Almost surely, 2^242470126080 is an apocalyptic number.

242470126080 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 242470126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539577339840).

242470126080 is an abundant number, since it is smaller than the sum of its proper divisors (836684553600).

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

242470126080 is a wasteful number, since it uses less digits than its factorization.

242470126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 242470126080 in words is "two hundred forty-two billion, four hundred seventy million, one hundred twenty-six thousand, eighty".