2801268 has 18 divisors (see below), whose sum is σ = 7081074. Its totient is φ = 933744.

The previous prime is 2801257. The next prime is 2801273. The reversal of 2801268 is 8621082.

It can be written as a sum of positive squares in only one way, i.e., 2782224 + 19044 = 1668^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38871 + ... + 38942.

It is an arithmetic number, because the mean of its divisors is an integer number (393393).

2^2801268 is an apocalyptic number.

It is an amenable number.

2801268 is an abundant number, since it is smaller than the sum of its proper divisors (4279806).

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

2801268 is a wasteful number, since it uses less digits than its factorization.

2801268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77823 (or 77818 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2801268 is about 1673.6988976515. The cubic root of 2801268 is about 140.9672475609.

The spelling of 2801268 in words is "two million, eight hundred one thousand, two hundred sixty-eight".