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2442 = 231137

2442 has 16 divisors (see below), whose sum is σ = 5472. Its totient is φ = 720.

The previous prime is 2441. The next prime is 2447.

2442 is nontrivially palindromic in base 10.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2441) 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 7 ways as a sum of consecutive naturals, for example, 48 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (342).

2442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736).

2442 is an abundant number, since it is smaller than the sum of its proper divisors (3030).

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

2442 is a wasteful number, since it uses less digits than its factorization.

2442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its digits is 64, while the sum is 12.

The square root of 2442 is about 49.4165964024. The cubic root of 2442 is about 13.4663083045.

It can be divided in two parts, 24 and 42, that added together give a palindrome (66).

The spelling of 2442 in words is "two thousand, four hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442