240229486080 has 480 divisors, whose sum is σ = 890144839584. Its totient is φ = 59661877248.

The previous prime is 240229486073. The next prime is 240229486111. The reversal of 240229486080 is 80684922042.

240229486080 is a `hidden beast` number, since 2 + 402 + 2 + 94 + 86 + 0 + 80 = 666.

240229486080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37989799 + ... + 37996121.

Almost surely, 2^240229486080 is an apocalyptic number.

240229486080 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 240229486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445072419792).

240229486080 is an abundant number, since it is smaller than the sum of its proper divisors (649915353504).

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

240229486080 is a wasteful number, since it uses less digits than its factorization.

240229486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 240229486080 in words is "two hundred forty billion, two hundred twenty-nine million, four hundred eighty-six thousand, eighty".