2283648 has 64 divisors (see below), whose sum is σ = 6405600. Its totient is φ = 718848.

The previous prime is 2283637. The next prime is 2283649. The reversal of 2283648 is 8463822.

It is a tau number, because it is divible by the number of its divisors (64).

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 (2283649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7140 + ... + 7452.

2^2283648 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 2283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202800).

2283648 is an abundant number, since it is smaller than the sum of its proper divisors (4121952).

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

2283648 is a wasteful number, since it uses less digits than its factorization.

2283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2283648 is about 1511.1743777606. The cubic root of 2283648 is about 131.6870455736.

It can be divided in two parts, 228 and 3648, that multiplied together give a square (831744 = 912²).

The spelling of 2283648 in words is "two million, two hundred eighty-three thousand, six hundred forty-eight".