2831268 has 48 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 844800.

The previous prime is 2831263. The next prime is 2831273. The reversal of 2831268 is 8621382.

2831268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2831263) and next prime (2831273).

It is not an unprimeable number, because it can be changed into a prime (2831263) 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, 11628 + ... + 11868.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

2^2831268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2831268 is an abundant number, since it is smaller than the sum of its proper divisors (4486812).

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

2831268 is a wasteful number, since it uses less digits than its factorization.

2831268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2831268 is about 1682.6372158014. The cubic root of 2831268 is about 141.4686883149.

It can be divided in two parts, 283 and 1268, that added together give a palindrome (1551).

The spelling of 2831268 in words is "two million, eight hundred thirty-one thousand, two hundred sixty-eight".