2193322320 has 960 divisors, whose sum is σ = 9892938240. Its totient is φ = 442810368.

The previous prime is 2193322309. The next prime is 2193322321. The reversal of 2193322320 is 232233912.

2193322320 is a `hidden beast` number, since 2 + 1 + 9 + 332 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193322321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41383414 + ... + 41383466.

It is an arithmetic number, because the mean of its divisors is an integer number (10305144).

Almost surely, 2^2193322320 is an apocalyptic number.

2193322320 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 2193322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946469120).

2193322320 is an abundant number, since it is smaller than the sum of its proper divisors (7699615920).

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

2193322320 is a wasteful number, since it uses less digits than its factorization.

2193322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2193322320 is about 46832.9191915260. The cubic root of 2193322320 is about 1299.2742142009.

It can be divided in two parts, 21933 and 22320, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 2193322320 in words is "two billion, one hundred ninety-three million, three hundred twenty-two thousand, three hundred twenty".