2642 has 4 divisors (see below), whose sum is σ = 3966. Its totient is φ = 1320.

The previous prime is 2633. The next prime is 2647. The reversal of 2642 is 2462.

Subtracting from 2642 its sum of digits (14), we obtain a triangular number (2628 = T_{72}).

It can be divided in two parts, 264 and 2, that multiplied together give a triangular number (528 = T_{32}).

2642 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

2642 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 2462 = 2 ⋅1231.

It can be written as a sum of positive squares in only one way, i.e., 1681 + 961 = 41^2 + 31^2 .

2642 is strictly pandigital in base 5.

It is a plaindrome in base 9.

It is a nialpdrome in base 15 and base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2642.

It is not an unprimeable number, because it can be changed into a prime (2647) by changing a digit.

2642 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, 659 + ... + 662.

2642 is a deficient number, since it is larger than the sum of its proper divisors (1324).

2642 is a wasteful number, since it uses less digits than its factorization.

2642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323.

The product of its digits is 96, while the sum is 14.

The square root of 2642 is about 51.4003891036. The cubic root of 2642 is about 13.8243356918.

The spelling of 2642 in words is "two thousand, six hundred forty-two".

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