2891268 has 48 divisors (see below), whose sum is σ = 7896000. Its totient is φ = 912384.

The previous prime is 2891263. The next prime is 2891281. The reversal of 2891268 is 8621982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2891263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (164500).

2^2891268 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 2891268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948000).

2891268 is an abundant number, since it is smaller than the sum of its proper divisors (5004732).

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

2891268 is a wasteful number, since it uses less digits than its factorization.

2891268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2891268 is about 1700.3729002781. The cubic root of 2891268 is about 142.4610419818.

Adding to 2891268 its product of digits (13824), we get a palindrome (2905092).

The spelling of 2891268 in words is "two million, eight hundred ninety-one thousand, two hundred sixty-eight".