2382288216192 has 160 divisors (see below), whose sum is σ = 7169312907900. Its totient is φ = 785173340160.

The previous prime is 2382288216179. The next prime is 2382288216197. The reversal of 2382288216192 is 2916128822832.

2382288216192 is a `hidden beast` number, since 2 + 382 + 28 + 82 + 161 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2382281119296 + 7096896 = 1543464^2 + 2664^2 .

It is a super-2 number, since 2×2382288216192² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (2382288216197) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 368109 + ... + 2213612.

Almost surely, 2^{2382288216192} 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 2382288216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584656453950).

2382288216192 is an abundant number, since it is smaller than the sum of its proper divisors (4787024691708).

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

2382288216192 is an equidigital number, since it uses as much as digits as its factorization.

2382288216192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581836 (or 2581815 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 2382288216192 in words is "two trillion, three hundred eighty-two billion, two hundred eighty-eight million, two hundred sixteen thousand, one hundred ninety-two".