542220024100 has 72 divisors (see below), whose sum is σ = 1199341987200. Its totient is φ = 212716252800.

The previous prime is 542220024097. The next prime is 542220024103. The reversal of 542220024100 is 1420022245.

It is an interprime number because it is at equal distance from previous prime (542220024097) and next prime (542220024103).

It is not an unprimeable number, because it can be changed into a prime (542220024103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436286 + ... + 2649514.

It is an arithmetic number, because the mean of its divisors is an integer number (16657527600).

Almost surely, 2^542220024100 is an apocalyptic number.

542220024100 is a gapful number since it is divisible by the number (50) 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 542220024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599670993600).

542220024100 is an abundant number, since it is smaller than the sum of its proper divisors (657121963100).

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

542220024100 is a wasteful number, since it uses less digits than its factorization.

542220024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213733 (or 213726 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 542220024100 its reverse (1420022245), we get a palindrome (543640046345).

The spelling of 542220024100 in words is "five hundred forty-two billion, two hundred twenty million, twenty-four thousand, one hundred".