2232262622322 has 192 divisors, whose sum is σ = 5212370217600. Its totient is φ = 688370918400.

The previous prime is 2232262622321. The next prime is 2232262622327.

2232262622322 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 6 + 2 + 622 + 3 + 22 = 666.

2232262622322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2232262622322³ (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2232262622321) 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, 1804577088 + ... + 1804578324.

It is an arithmetic number, because the mean of its divisors is an integer number (27147761550).

Almost surely, 2^{2232262622322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232262622322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606185108800).

2232262622322 is an abundant number, since it is smaller than the sum of its proper divisors (2980107595278).

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

2232262622322 is a wasteful number, since it uses less digits than its factorization.

2232262622322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2038 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 2232262622322 in words is "two trillion, two hundred thirty-two billion, two hundred sixty-two million, six hundred twenty-two thousand, three hundred twenty-two".