2442134022020 has 192 divisors, whose sum is σ = 6732138147840. Its totient is φ = 720944064000.

The previous prime is 2442134022011. The next prime is 2442134022023. The reversal of 2442134022020 is 202204312442.

It is not an unprimeable number, because it can be changed into a prime (2442134022023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161712470 + ... + 161727570.

It is an arithmetic number, because the mean of its divisors is an integer number (35063219520).

Almost surely, 2^{2442134022020} is an apocalyptic number.

2442134022020 is a gapful number since it is divisible by the number (20) 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 2442134022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366069073920).

2442134022020 is an abundant number, since it is smaller than the sum of its proper divisors (4290004125820).

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

2442134022020 is a wasteful number, since it uses less digits than its factorization.

2442134022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20674 (or 20672 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2442134022020 its reverse (202204312442), we get a palindrome (2644338334462).

The spelling of 2442134022020 in words is "two trillion, four hundred forty-two billion, one hundred thirty-four million, twenty-two thousand, twenty".