2220042311344 has 320 divisors, whose sum is σ = 5425202764800. Its totient is φ = 865064448000.

The previous prime is 2220042311309. The next prime is 2220042311381. The reversal of 2220042311344 is 4431132400222.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452236762 + ... + 452241670.

It is an arithmetic number, because the mean of its divisors is an integer number (16953758640).

Almost surely, 2^{2220042311344} 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 2220042311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712601382400).

2220042311344 is an abundant number, since it is smaller than the sum of its proper divisors (3205160453456).

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

2220042311344 is a wasteful number, since it uses less digits than its factorization.

2220042311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2220042311344 its reverse (4431132400222), we get a palindrome (6651174711566).

The spelling of 2220042311344 in words is "two trillion, two hundred twenty billion, forty-two million, three hundred eleven thousand, three hundred forty-four".