2205648 has 90 divisors (see below), whose sum is σ = 6680934. Its totient is φ = 678912.

The previous prime is 2205629. The next prime is 2205649. The reversal of 2205648 is 8465022.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 1065024 = 1068^2 + 1032^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205649) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41590 + ... + 41642.

2^2205648 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 2205648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340467).

2205648 is an abundant number, since it is smaller than the sum of its proper divisors (4475286).

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

2205648 is a wasteful number, since it uses less digits than its factorization.

2205648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2205648 is about 1485.1424174132. The cubic root of 2205648 is about 130.1703486741.

The spelling of 2205648 in words is "two million, two hundred five thousand, six hundred forty-eight".