2220142410222 has 192 divisors, whose sum is σ = 5493643948800. Its totient is φ = 593923968000.

The previous prime is 2220142410221. The next prime is 2220142410251.

2220142410222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2220142410192 and 2220142410201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220142410221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23637429 + ... + 23731167.

It is an arithmetic number, because the mean of its divisors is an integer number (28612728900).

Almost surely, 2^{2220142410222} is an apocalyptic number.

2220142410222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220142410222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746821974400).

2220142410222 is an abundant number, since it is smaller than the sum of its proper divisors (3273501538578).

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

2220142410222 is a wasteful number, since it uses less digits than its factorization.

2220142410222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93903 (or 93892 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 2220142410222 in words is "two trillion, two hundred twenty billion, one hundred forty-two million, four hundred ten thousand, two hundred twenty-two".