2781306 has 36 divisors (see below), whose sum is σ = 6628986. Its totient is φ = 842160.

The previous prime is 2781301. The next prime is 2781307. The reversal of 2781306 is 6031872.

2781306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2205225 + 576081 = 1485^2 + 759^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2781306.

It is not an unprimeable number, because it can be changed into a prime (2781301) 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 17 ways as a sum of consecutive naturals, for example, 1540 + ... + 2816.

2^2781306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314493).

2781306 is an abundant number, since it is smaller than the sum of its proper divisors (3847680).

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

2781306 is a wasteful number, since it uses less digits than its factorization.

2781306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2781306 is about 1667.7247974411. The cubic root of 2781306 is about 140.6316020604.

The spelling of 2781306 in words is "two million, seven hundred eighty-one thousand, three hundred six".