2648268 has 96 divisors (see below), whose sum is σ = 8171520. Its totient is φ = 725760.

The previous prime is 2648267. The next prime is 2648273. The reversal of 2648268 is 8628462.

2648268 is a `hidden beast` number, since 2 + 648 + 2 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2648263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23380 + ... + 23492.

It is an arithmetic number, because the mean of its divisors is an integer number (85120).

2^2648268 is an apocalyptic number.

2648268 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 2648268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085760).

2648268 is an abundant number, since it is smaller than the sum of its proper divisors (5523252).

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

2648268 is a wasteful number, since it uses less digits than its factorization.

2648268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2648268 is about 1627.3499930869. The cubic root of 2648268 is about 138.3525955016.

It can be divided in two parts, 2648 and 268, that added together give a square (2916 = 54²).

The spelling of 2648268 in words is "two million, six hundred forty-eight thousand, two hundred sixty-eight".