20242242334000 has 80 divisors (see below), whose sum is σ = 48953700825120. Its totient is φ = 8095580332800.

The previous prime is 20242242333977. The next prime is 20242242334001. The reversal of 20242242334000 is 43324224202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 20242242334000.

It is not an unprimeable number, because it can be changed into a prime (20242242334001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11526211 + ... + 13165789.

It is an arithmetic number, because the mean of its divisors is an integer number (611921260314).

Almost surely, 2^{20242242334000} is an apocalyptic number.

20242242334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242242334000 is an abundant number, since it is smaller than the sum of its proper divisors (28711458491120).

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

20242242334000 is a wasteful number, since it uses less digits than its factorization.

20242242334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645775 (or 1645759 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20242242334000 its reverse (43324224202), we get a palindrome (20285566558202).

The spelling of 20242242334000 in words is "twenty trillion, two hundred forty-two billion, two hundred forty-two million, three hundred thirty-four thousand".