2241568080 has 240 divisors, whose sum is σ = 7927867584. Its totient is φ = 588487680.

The previous prime is 2241568067. The next prime is 2241568081. The reversal of 2241568080 is 808651422.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241568081) 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, 1301620 + ... + 1303340.

Almost surely, 2^2241568080 is an apocalyptic number.

2241568080 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 2241568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963933792).

2241568080 is an abundant number, since it is smaller than the sum of its proper divisors (5686299504).

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

2241568080 is a wasteful number, since it uses less digits than its factorization.

2241568080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2241568080 is about 47345.2012351833. The cubic root of 2241568080 is about 1308.7317679581.

The spelling of 2241568080 in words is "two billion, two hundred forty-one million, five hundred sixty-eight thousand, eighty".