2752800320 has 84 divisors (see below), whose sum is σ = 6616026900. Its totient is φ = 1090971648.

The previous prime is 2752800307. The next prime is 2752800329. The reversal of 2752800320 is 230082572.

It can be written as a sum of positive squares in 6 ways, for example, as 72046144 + 2680754176 = 8488^2 + 51776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752800329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7887506 + ... + 7887854.

It is an arithmetic number, because the mean of its divisors is an integer number (78762225).

Almost surely, 2^2752800320 is an apocalyptic number.

2752800320 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 2752800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308013450).

2752800320 is an abundant number, since it is smaller than the sum of its proper divisors (3863226580).

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

2752800320 is an equidigital number, since it uses as much as digits as its factorization.

2752800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2752800320 is about 52467.1356184040. The cubic root of 2752800320 is about 1401.4950559270.

Adding to 2752800320 its reverse (230082572), we get a palindrome (2982882892).

The spelling of 2752800320 in words is "two billion, seven hundred fifty-two million, eight hundred thousand, three hundred twenty".