2753784320 has 240 divisors, whose sum is σ = 7955952840. Its totient is φ = 910393344.

The previous prime is 2753784317. The next prime is 2753784337. The reversal of 2753784320 is 234873572.

It can be written as a sum of positive squares in 4 ways, for example, as 2351862016 + 401922304 = 48496^2 + 20048^2 .

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, 3637382 + ... + 3638138.

Almost surely, 2^2753784320 is an apocalyptic number.

2753784320 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 2753784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977976420).

2753784320 is an abundant number, since it is smaller than the sum of its proper divisors (5202168520).

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

2753784320 is an equidigital number, since it uses as much as digits as its factorization.

2753784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 2753784320 is about 52476.5120792150. The cubic root of 2753784320 is about 1401.6620261257.

The spelling of 2753784320 in words is "two billion, seven hundred fifty-three million, seven hundred eighty-four thousand, three hundred twenty".