2243201760 has 144 divisors (see below), whose sum is σ = 7684709760. Its totient is φ = 595860480.

The previous prime is 2243201747. The next prime is 2243201783. The reversal of 2243201760 is 671023422.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 384465 + ... + 390255.

It is an arithmetic number, because the mean of its divisors is an integer number (53366040).

Almost surely, 2^2243201760 is an apocalyptic number.

2243201760 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 2243201760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842354880).

2243201760 is an abundant number, since it is smaller than the sum of its proper divisors (5441508000).

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

2243201760 is a wasteful number, since it uses less digits than its factorization.

2243201760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2243201760 is about 47362.4509500934. The cubic root of 2243201760 is about 1309.0496302220.

The spelling of 2243201760 in words is "two billion, two hundred forty-three million, two hundred one thousand, seven hundred sixty".