2492 has 12 divisors (see below), whose sum is σ = 5040. Its totient is φ = 1056.

The previous prime is 2477. The next prime is 2503. The reversal of 2492 is 2942.

2492 = 14^{2} + 15^{2} + ... + 21^{2}.

2492 is an admirable number.

It is a plaindrome in base 9, base 13 and base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2492.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17 + ... + 72.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

2^{2492} is an apocalyptic number.

It is an amenable number.

2492 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

2492 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2491) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (100).

2492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 2492 is about 49.9199358974. The cubic root of 2492 is about 13.5575957195.

It can be divided in two parts, 2 and 492, that added together give a palindrome (494).

The spelling of 2492 in words is "two thousand, four hundred ninety-two".

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