2832640 has 36 divisors (see below), whose sum is σ = 6788124. Its totient is φ = 1132544.

The previous prime is 2832637. The next prime is 2832667. The reversal of 2832640 is 462382.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 665856 = 1472^2 + 816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (188559).

2^2832640 is an apocalyptic number.

2832640 is a gapful number since it is divisible by the number (20) 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 2832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394062).

2832640 is an abundant number, since it is smaller than the sum of its proper divisors (3955484).

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

2832640 is an equidigital number, since it uses as much as digits as its factorization.

2832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2832640 is about 1683.0448597705. The cubic root of 2832640 is about 141.4915359927.

The spelling of 2832640 in words is "two million, eight hundred thirty-two thousand, six hundred forty".