2648320 has 36 divisors (see below), whose sum is σ = 6346620. Its totient is φ = 1058816.

The previous prime is 2648291. The next prime is 2648323. The reversal of 2648320 is 238462.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 1982464 = 816^2 + 1408^2 .

It is not an unprimeable number, because it can be changed into a prime (2648323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246 + ... + 2314.

It is an arithmetic number, because the mean of its divisors is an integer number (176295).

2^2648320 is an apocalyptic number.

2648320 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 2648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173310).

2648320 is an abundant number, since it is smaller than the sum of its proper divisors (3698300).

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

2648320 is an equidigital number, since it uses as much as digits as its factorization.

2648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2076 counting only the distinct ones).

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

The square root of 2648320 is about 1627.3659699035. The cubic root of 2648320 is about 138.3535010353.

The spelling of 2648320 in words is "two million, six hundred forty-eight thousand, three hundred twenty".