2681728 has 64 divisors (see below), whose sum is σ = 6340320. Its totient is φ = 1105920.

The previous prime is 2681719. The next prime is 2681729. The reversal of 2681728 is 8271862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2681693 and 2681702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36700 + ... + 36772.

2^2681728 is an apocalyptic number.

2681728 is a gapful number since it is divisible by the number (28) 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 2681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170160).

2681728 is an abundant number, since it is smaller than the sum of its proper divisors (3658592).

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

2681728 is an equidigital number, since it uses as much as digits as its factorization.

2681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 2681728 is about 1637.5982413278. The cubic root of 2681728 is about 138.9328385238.

The spelling of 2681728 in words is "two million, six hundred eighty-one thousand, seven hundred twenty-eight".