2684032720 has 120 divisors (see below), whose sum is σ = 6718989600. Its totient is φ = 994088448.

The previous prime is 2684032711. The next prime is 2684032723. The reversal of 2684032720 is 272304862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684032723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15514554 + ... + 15514726.

It is an arithmetic number, because the mean of its divisors is an integer number (55991580).

Almost surely, 2^2684032720 is an apocalyptic number.

2684032720 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 2684032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359494800).

2684032720 is an abundant number, since it is smaller than the sum of its proper divisors (4034956880).

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

2684032720 is a wasteful number, since it uses less digits than its factorization.

2684032720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2684032720 is about 51807.6511723896. The cubic root of 2684032720 is about 1389.7262749653.

The spelling of 2684032720 in words is "two billion, six hundred eighty-four million, thirty-two thousand, seven hundred twenty".