2728180224 has 480 divisors, whose sum is σ = 10188097920. Its totient is φ = 705576960.

The previous prime is 2728180223. The next prime is 2728180241. The reversal of 2728180224 is 4220818272.

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

It is not an unprimeable number, because it can be changed into a prime (2728180223) 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, 11708812 + ... + 11709044.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^2728180224 is an apocalyptic number.

2728180224 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 2728180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094048960).

2728180224 is an abundant number, since it is smaller than the sum of its proper divisors (7459917696).

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

2728180224 is a wasteful number, since it uses less digits than its factorization.

2728180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2728180224 is about 52231.9846837165. The cubic root of 2728180224 is about 1397.3043749543.

Adding to 2728180224 its reverse (4220818272), we get a palindrome (6948998496).

The spelling of 2728180224 in words is "two billion, seven hundred twenty-eight million, one hundred eighty thousand, two hundred twenty-four".