2042402224000 has 128 divisors (see below), whose sum is σ = 5099178614400. Its totient is φ = 813541120000.

The previous prime is 2042402223989. The next prime is 2042402224003. The reversal of 2042402224000 is 4222042402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042402224003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556950 + ... + 4091050.

It is an arithmetic number, because the mean of its divisors is an integer number (39837332925).

Almost surely, 2^{2042402224000} is an apocalyptic number.

2042402224000 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 2042402224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549589307200).

2042402224000 is an abundant number, since it is smaller than the sum of its proper divisors (3056776390400).

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

2042402224000 is an equidigital number, since it uses as much as digits as its factorization.

2042402224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534369 (or 534347 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2042402224000 its reverse (4222042402), we get a palindrome (2046624266402).

The spelling of 2042402224000 in words is "two trillion, forty-two billion, four hundred two million, two hundred twenty-four thousand".