2981328 has 80 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 805248.

The previous prime is 2981323. The next prime is 2981333. The reversal of 2981328 is 8231892.

It is an interprime number because it is at equal distance from previous prime (2981323) and next prime (2981333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981323) 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 15 ways as a sum of consecutive naturals, for example, 6151 + ... + 6617.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

2^2981328 is an apocalyptic number.

2981328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

2981328 is an abundant number, since it is smaller than the sum of its proper divisors (6303792).

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

2981328 is a wasteful number, since it uses less digits than its factorization.

2981328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 2981328 is about 1726.6522521921. The cubic root of 2981328 is about 143.9251153853.

The spelling of 2981328 in words is "two million, nine hundred eighty-one thousand, three hundred twenty-eight".