2241308160 has 480 divisors, whose sum is σ = 9562512960. Its totient is φ = 472449024.

The previous prime is 2241308159. The next prime is 2241308161. The reversal of 2241308160 is 618031422.

It is an interprime number because it is at equal distance from previous prime (2241308159) and next prime (2241308161).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241308161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096106 + ... + 2097174.

It is an arithmetic number, because the mean of its divisors is an integer number (19921902).

Almost surely, 2^2241308160 is an apocalyptic number.

2241308160 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 2241308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781256480).

2241308160 is an abundant number, since it is smaller than the sum of its proper divisors (7321204800).

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

2241308160 is a wasteful number, since it uses less digits than its factorization.

2241308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2241308160 is about 47342.4562100447. The cubic root of 2241308160 is about 1308.6811815386.

Adding to 2241308160 its reverse (618031422), we get a palindrome (2859339582).

The spelling of 2241308160 in words is "two billion, two hundred forty-one million, three hundred eight thousand, one hundred sixty".