2240 has 28 divisors (see below), whose sum is σ = 6096. Its totient is φ = 768.

The previous prime is 2239. The next prime is 2243. The reversal of 2240 is 422.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a d-powerful number, because it can be written as **2**^{7} + **4**^{3} + **2**^{11} + **0** .

It is a plaindrome in base 12.

It is a nialpdrome in base 8 and base 14.

It is not an unprimeable number, because it can be changed into a prime (2243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 317 + ... + 323.

2^{2240} is an apocalyptic number.

2240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2240 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048).

2240 is an abundant number, since it is smaller than the sum of its proper divisors (3856).

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

2240 is an equidigital number, since it uses as much as digits as its factorization.

2240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2240 is about 47.3286382648. The cubic root of 2240 is about 13.0842652408.

Adding to 2240 its reverse (422), we get a palindrome (2662).

It can be divided in two parts, 2 and 240, that added together give a palindrome (242).

The spelling of 2240 in words is "two thousand, two hundred forty", and thus it is an iban number.

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