2638848 has 44 divisors (see below), whose sum is σ = 7041680. Its totient is φ = 878592.

The previous prime is 2638843. The next prime is 2638849. The reversal of 2638848 is 8488362.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2638841) 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, 2643 + ... + 3501.

2^2638848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520840).

2638848 is an abundant number, since it is smaller than the sum of its proper divisors (4402832).

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

2638848 is an equidigital number, since it uses as much as digits as its factorization.

2638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 864 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 2638848 is about 1624.4531387516. The cubic root of 2638848 is about 138.1883586260.

It can be divided in two parts, 2638 and 848, that added together give a triangular number (3486 = T₈₃).

The spelling of 2638848 in words is "two million, six hundred thirty-eight thousand, eight hundred forty-eight".