2981268 has 18 divisors (see below), whose sum is σ = 7536074. Its totient is φ = 993744.

The previous prime is 2981263. The next prime is 2981311. The reversal of 2981268 is 8621892.

It can be written as a sum of positive squares in only one way, i.e., 2762244 + 219024 = 1662^2 + 468^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 82813 = 2981268 / (2 + 9 + 8 + 1 + 2 + 6 + 8).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981263) by changing a digit.

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, 41371 + ... + 41442.

2^2981268 is an apocalyptic number.

It is an amenable number.

2981268 is an abundant number, since it is smaller than the sum of its proper divisors (4554806).

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

2981268 is a wasteful number, since it uses less digits than its factorization.

2981268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82823 (or 82818 counting only the distinct ones).

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

The square root of 2981268 is about 1726.6348774422. The cubic root of 2981268 is about 143.9241498688.

It can be divided in two parts, 2981 and 268, that added together give a square (3249 = 57²).

The spelling of 2981268 in words is "two million, nine hundred eighty-one thousand, two hundred sixty-eight".