542106240 has 256 divisors, whose sum is σ = 1914433920. Its totient is φ = 129613824.

The previous prime is 542106239. The next prime is 542106247. The reversal of 542106240 is 42601245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 542106240.

It is not an unprimeable number, because it can be changed into a prime (542106247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923227 + ... + 923813.

Almost surely, 2^542106240 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 542106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957216960).

542106240 is an abundant number, since it is smaller than the sum of its proper divisors (1372327680).

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

542106240 is a wasteful number, since it uses less digits than its factorization.

542106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 542106240 is about 23283.1750412181. The cubic root of 542106240 is about 815.3826549414.

Adding to 542106240 its reverse (42601245), we get a palindrome (584707485).

The spelling of 542106240 in words is "five hundred forty-two million, one hundred six thousand, two hundred forty".