2241306865560 has 384 divisors, whose sum is σ = 8517293856000. Its totient is φ = 468599233536.

The previous prime is 2241306865549. The next prime is 2241306865573. The reversal of 2241306865560 is 655686031422.

It is a super-2 number, since 2×2241306865560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2893987 + ... + 3585773.

It is an arithmetic number, because the mean of its divisors is an integer number (22180452750).

Almost surely, 2^{2241306865560} is an apocalyptic number.

2241306865560 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 2241306865560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258646928000).

2241306865560 is an abundant number, since it is smaller than the sum of its proper divisors (6275986990440).

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

2241306865560 is a wasteful number, since it uses less digits than its factorization.

2241306865560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691863 (or 691852 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 2241306865560 in words is "two trillion, two hundred forty-one billion, three hundred six million, eight hundred sixty-five thousand, five hundred sixty".