2720116224 has 240 divisors, whose sum is σ = 9160351200. Its totient is φ = 776724480.

The previous prime is 2720116169. The next prime is 2720116241. The reversal of 2720116224 is 4226110272.

2720116224 is a `hidden beast` number, since 2 + 7 + 20 + 11 + 622 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579684 + ... + 1581404.

It is an arithmetic number, because the mean of its divisors is an integer number (38168130).

Almost surely, 2^2720116224 is an apocalyptic number.

2720116224 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 2720116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580175600).

2720116224 is an abundant number, since it is smaller than the sum of its proper divisors (6440234976).

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

2720116224 is an equidigital number, since it uses as much as digits as its factorization.

2720116224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2720116224 is about 52154.7334764545. The cubic root of 2720116224 is about 1395.9262911852.

Adding to 2720116224 its reverse (4226110272), we get a palindrome (6946226496).

The spelling of 2720116224 in words is "two billion, seven hundred twenty million, one hundred sixteen thousand, two hundred twenty-four".