2282388192 has 216 divisors, whose sum is σ = 7707628656. Its totient is φ = 651691008.

The previous prime is 2282388191. The next prime is 2282388209. The reversal of 2282388192 is 2918832822.

2282388192 is a `hidden beast` number, since 2 + 2 + 82 + 388 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282388191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1468888 + ... + 1470440.

It is an arithmetic number, because the mean of its divisors is an integer number (35683466).

Almost surely, 2^2282388192 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 2282388192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853814328).

2282388192 is an abundant number, since it is smaller than the sum of its proper divisors (5425240464).

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

2282388192 is an frugal number, since it uses more digits than its factorization.

2282388192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1565 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2282388192 is about 47774.3465889383. The cubic root of 2282388192 is about 1316.6282542088.

The spelling of 2282388192 in words is "two billion, two hundred eighty-two million, three hundred eighty-eight thousand, one hundred ninety-two".