2631328 has 48 divisors (see below), whose sum is σ = 6277824. Its totient is φ = 1059840.

The previous prime is 2631323. The next prime is 2631337. The reversal of 2631328 is 8231362.

It is not an unprimeable number, because it can be changed into a prime (2631323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3463 + ... + 4153.

It is an arithmetic number, because the mean of its divisors is an integer number (130788).

2^2631328 is an apocalyptic number.

2631328 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 2631328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138912).

2631328 is an abundant number, since it is smaller than the sum of its proper divisors (3646496).

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

2631328 is a wasteful number, since it uses less digits than its factorization.

2631328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 2631328 is about 1622.1368622900. The cubic root of 2631328 is about 138.0569673085.

The spelling of 2631328 in words is "two million, six hundred thirty-one thousand, three hundred twenty-eight".