2241290160 has 180 divisors, whose sum is σ = 7944928992. Its totient is φ = 566155008.

The previous prime is 2241290153. The next prime is 2241290167. The reversal of 2241290160 is 610921422.

2241290160 is a `hidden beast` number, since 2 + 2 + 412 + 90 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (2241290153) and next prime (2241290167).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2241290167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255609 + ... + 264231.

Almost surely, 2^2241290160 is an apocalyptic number.

2241290160 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 2241290160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972464496).

2241290160 is an abundant number, since it is smaller than the sum of its proper divisors (5703638832).

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

2241290160 is a wasteful number, since it uses less digits than its factorization.

2241290160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2241290160 is about 47342.2661054580. The cubic root of 2241290160 is about 1308.6776781791.

The spelling of 2241290160 in words is "two billion, two hundred forty-one million, two hundred ninety thousand, one hundred sixty".