2241806560 has 96 divisors (see below), whose sum is σ = 6065115840. Its totient is φ = 767066112.

The previous prime is 2241806521. The next prime is 2241806563. The reversal of 2241806560 is 656081422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241806563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644506 + ... + 647974.

It is an arithmetic number, because the mean of its divisors is an integer number (63178290).

Almost surely, 2^2241806560 is an apocalyptic number.

2241806560 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 2241806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032557920).

2241806560 is an abundant number, since it is smaller than the sum of its proper divisors (3823309280).

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

2241806560 is a wasteful number, since it uses less digits than its factorization.

2241806560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2241806560 is about 47347.7196916599. The cubic root of 2241806560 is about 1308.7781782199.

Adding to 2241806560 its reverse (656081422), we get a palindrome (2897887982).

The spelling of 2241806560 in words is "two billion, two hundred forty-one million, eight hundred six thousand, five hundred sixty".