542310240 has 96 divisors (see below), whose sum is σ = 1724405760. Its totient is φ = 143250944.

The previous prime is 542310203. The next prime is 542310259. The reversal of 542310240 is 42013245.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46081 + ... + 56639.

It is an arithmetic number, because the mean of its divisors is an integer number (17962560).

Almost surely, 2^542310240 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 542310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862202880).

542310240 is an abundant number, since it is smaller than the sum of its proper divisors (1182095520).

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

542310240 is a wasteful number, since it uses less digits than its factorization.

542310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684 (or 10676 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 542310240 is about 23287.5554749742. Note that the first 3 decimals coincide. The cubic root of 542310240 is about 815.4849209973.

Adding to 542310240 its reverse (42013245), we get a palindrome (584323485).

The spelling of 542310240 in words is "five hundred forty-two million, three hundred ten thousand, two hundred forty".