2241728544 has 216 divisors, whose sum is σ = 6777391824. Its totient is φ = 643411200.

The previous prime is 2241728543. The next prime is 2241728549. The reversal of 2241728544 is 4458271422.

It is a super-4 number, since 4×2241728544⁴ (a number of 39 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2241728543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47696329 + ... + 47696375.

It is an arithmetic number, because the mean of its divisors is an integer number (31376814).

Almost surely, 2^2241728544 is an apocalyptic number.

2241728544 is a gapful number since it is divisible by the number (24) 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 2241728544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388695912).

2241728544 is an abundant number, since it is smaller than the sum of its proper divisors (4535663280).

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

2241728544 is a wasteful number, since it uses less digits than its factorization.

2241728544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 94 counting only the distinct ones).

The product of its digits is 143360, while the sum is 39.

The square root of 2241728544 is about 47346.8958222184. The cubic root of 2241728544 is about 1308.7629959967.

Adding to 2241728544 its reverse (4458271422), we get a palindrome (6699999966).

The spelling of 2241728544 in words is "two billion, two hundred forty-one million, seven hundred twenty-eight thousand, five hundred forty-four".