2721768 has 64 divisors (see below), whose sum is σ = 8242560. Its totient is φ = 731136.

The previous prime is 2721767. The next prime is 2721773. The reversal of 2721768 is 8671272.

2721768 = 97² + 98² + ... + 208².

2721768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2721767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380 + ... + 3332.

It is an arithmetic number, because the mean of its divisors is an integer number (128790).

2^2721768 is an apocalyptic number.

2721768 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 2721768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121280).

2721768 is an abundant number, since it is smaller than the sum of its proper divisors (5520792).

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

2721768 is a wasteful number, since it uses less digits than its factorization.

2721768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 2721768 is about 1649.7781669061. The cubic root of 2721768 is about 139.6208790264.

The spelling of 2721768 in words is "two million, seven hundred twenty-one thousand, seven hundred sixty-eight".