2020442424000 has 1792 divisors, whose sum is σ = 9203682668544. Its totient is φ = 376897536000.

The previous prime is 2020442423999. The next prime is 2020442424023. The reversal of 2020442424000 is 4242440202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 888886864 + ... + 888889136.

It is an arithmetic number, because the mean of its divisors is an integer number (5135983632).

Almost surely, 2^{2020442424000} is an apocalyptic number.

2020442424000 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 2020442424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601841334272).

2020442424000 is an abundant number, since it is smaller than the sum of its proper divisors (7183240244544).

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

2020442424000 is a wasteful number, since it uses less digits than its factorization.

2020442424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2020442424000 its reverse (4242440202), we get a palindrome (2024684864202).

It can be divided in two parts, 2020442 and 424000, that added together give a palindrome (2444442).

The spelling of 2020442424000 in words is "two trillion, twenty billion, four hundred forty-two million, four hundred twenty-four thousand".