2042022304320 has 224 divisors, whose sum is σ = 6531197097600. Its totient is φ = 540531425280.

The previous prime is 2042022304313. The next prime is 2042022304331. The reversal of 2042022304320 is 234032202402.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 276206544 + ... + 276213936.

It is an arithmetic number, because the mean of its divisors is an integer number (29157129900).

Almost surely, 2^{2042022304320} is an apocalyptic number.

2042022304320 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 2042022304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265598548800).

2042022304320 is an abundant number, since it is smaller than the sum of its proper divisors (4489174793280).

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

2042022304320 is a wasteful number, since it uses less digits than its factorization.

2042022304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2042022304320 its reverse (234032202402), we get a palindrome (2276054506722).

The spelling of 2042022304320 in words is "two trillion, forty-two billion, twenty-two million, three hundred four thousand, three hundred twenty".