2042224197312 has 896 divisors, whose sum is σ = 6549708211200. Its totient is φ = 558907195392.

The previous prime is 2042224197301. The next prime is 2042224197317. The reversal of 2042224197312 is 2137914222402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2042224197317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11409073639 + ... + 11409073817.

It is an arithmetic number, because the mean of its divisors is an integer number (7309942200).

Almost surely, 2^{2042224197312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042224197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274854105600).

2042224197312 is an abundant number, since it is smaller than the sum of its proper divisors (4507484013888).

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

2042224197312 is a wasteful number, since it uses less digits than its factorization.

2042224197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 2042224197312 in words is "two trillion, forty-two billion, two hundred twenty-four million, one hundred ninety-seven thousand, three hundred twelve".