2416 has 10 divisors (see below), whose sum is σ = 4712. Its totient is φ = 1200.

The previous prime is 2411. The next prime is 2417. The reversal of 2416 is 6142.

It is a pancake number, because a pancake can be divided into 2416 parts by 69 straight cuts.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2396 and 2405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411) by changing a digit.

2416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 60 + ... + 91.

It is equal to the Eulerian number *A*(7, 3).

It is an amenable number.

2416 is a deficient number, since it is larger than the sum of its proper divisors (2296).

2416 is a wasteful number, since it uses less digits than its factorization.

2416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 2416 is about 49.1528229098. The cubic root of 2416 is about 13.4183457042.

Adding to 2416 its reverse (6142), we get a palindrome (8558).

The spelling of 2416 in words is "two thousand, four hundred sixteen".

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