2456 has 8 divisors (see below), whose sum is σ = 4620. Its totient is φ = 1224.

The previous prime is 2447. The next prime is 2459. The reversal of 2456 is 6542.

Adding to 2456 its reverse (6542), we get a palindrome (8998).

2456 = 4^{2} + 5^{2} + ... + 19^{2}.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146 + ... + 161.

It is an amenable number.

2456 is a deficient number, since it is larger than the sum of its proper divisors (2164).

2456 is a wasteful number, since it uses less digits than its factorization.

2456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 2456 is about 49.5580467735. The cubic root of 2456 is about 13.4919934234.

The spelling of 2456 in words is "two thousand, four hundred fifty-six".

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