2322022000320 has 672 divisors, whose sum is σ = 8978349856320. Its totient is φ = 545864417280.

The previous prime is 2322022000271. The next prime is 2322022000343. The reversal of 2322022000320 is 230002202232.

2322022000320 is a `hidden beast` number, since 2 + 322 + 0 + 2 + 20 + 0 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2322022000293 and 2322022000302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 366882916 + ... + 366889244.

Almost surely, 2^{2322022000320} is an apocalyptic number.

2322022000320 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 2322022000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489174928160).

2322022000320 is an abundant number, since it is smaller than the sum of its proper divisors (6656327856000).

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

2322022000320 is a wasteful number, since it uses less digits than its factorization.

2322022000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2322022000320 its reverse (230002202232), we get a palindrome (2552024202552).

The spelling of 2322022000320 in words is "two trillion, three hundred twenty-two billion, twenty-two million, three hundred twenty", and thus it is an aban number.