20005612242 has 256 divisors, whose sum is σ = 53648179200. Its totient is φ = 4822272000.

The previous prime is 20005612219. The next prime is 20005612303. The reversal of 20005612242 is 24221650002.

It is a happy number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 43395892 + ... + 43396352.

It is an arithmetic number, because the mean of its divisors is an integer number (209563200).

Almost surely, 2^20005612242 is an apocalyptic number.

20005612242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005612242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824089600).

20005612242 is an abundant number, since it is smaller than the sum of its proper divisors (33642566958).

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

20005612242 is a wasteful number, since it uses less digits than its factorization.

20005612242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

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

The spelling of 20005612242 in words is "twenty billion, five million, six hundred twelve thousand, two hundred forty-two".