2472 has 16 divisors (see below), whose sum is σ = 6240. Its totient is φ = 816.

The previous prime is 2467. The next prime is 2473. The reversal of 2472 is 2742.

It is a super-2 number, since 2×2472^{2} = 12221568, which contains 22 as substring.

2472 is a Rhonda number in base 15.

Its product of digits (112) is a multiple of the sum of its prime factors (112).

2472 is a modest number, since divided by 72 gives 24 as remainder.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2473) 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 in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (390).

2^{2472} is an apocalyptic number.

It is an amenable number.

2472 is an abundant number, since it is smaller than the sum of its proper divisors (3768).

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 (3120).

2472 is a wasteful number, since it uses less digits than its factorization.

2472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its digits is 112, while the sum is 15.

The square root of 2472 is about 49.7192115786. The cubic root of 2472 is about 13.5212286035.

It can be divided in two parts, 247 and 2, that multiplied together give a palindrome (494).

The spelling of 2472 in words is "two thousand, four hundred seventy-two", and thus it is an iban number.

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