542489610240 has 288 divisors, whose sum is σ = 1881779739840. Its totient is φ = 144540205056.

The previous prime is 542489610233. The next prime is 542489610241. The reversal of 542489610240 is 42016984245.

It is a happy number.

542489610240 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 8 + 9 + 610 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×542489610240² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (542489610241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170217927 + ... + 170221113.

It is an arithmetic number, because the mean of its divisors is an integer number (6533957430).

Almost surely, 2^542489610240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542489610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940889869920).

542489610240 is an abundant number, since it is smaller than the sum of its proper divisors (1339290129600).

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

542489610240 is a wasteful number, since it uses less digits than its factorization.

542489610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 542489610240 in words is "five hundred forty-two billion, four hundred eighty-nine million, six hundred ten thousand, two hundred forty".