2442020240000 has 320 divisors, whose sum is σ = 6643332828000. Its totient is φ = 886479360000.

The previous prime is 2442020239993. The next prime is 2442020240041. The reversal of 2442020240000 is 420202442.

2442020240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 595757951 + ... + 595762049.

Almost surely, 2^{2442020240000} is an apocalyptic number.

2442020240000 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 2442020240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321666414000).

2442020240000 is an abundant number, since it is smaller than the sum of its proper divisors (4201312588000).

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

2442020240000 is an equidigital number, since it uses as much as digits as its factorization.

2442020240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2442020240000 its reverse (420202442), we get a palindrome (2442440442442).

The spelling of 2442020240000 in words is "two trillion, four hundred forty-two billion, twenty million, two hundred forty thousand".