2241834192 has 320 divisors, whose sum is σ = 7288422400. Its totient is φ = 655050240.

The previous prime is 2241834191. The next prime is 2241834229. The reversal of 2241834192 is 2914381422.

2241834192 is a `hidden beast` number, since 22 + 418 + 34 + 192 = 666.

2241834192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2241834191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13753503 + ... + 13753665.

It is an arithmetic number, because the mean of its divisors is an integer number (22776320).

Almost surely, 2^2241834192 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 2241834192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644211200).

2241834192 is an abundant number, since it is smaller than the sum of its proper divisors (5046588208).

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

2241834192 is a wasteful number, since it uses less digits than its factorization.

2241834192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2241834192 is about 47348.0114893963. The cubic root of 2241834192 is about 1308.7835554323.

The spelling of 2241834192 in words is "two billion, two hundred forty-one million, eight hundred thirty-four thousand, one hundred ninety-two".