2542 has 8 divisors (see below), whose sum is σ = 4032. Its totient is φ = 1200.

The previous prime is 2539. The next prime is 2543. The reversal of 2542 is 2452.

Adding to 2542 its reverse (2452), we get a palindrome (4994).

It can be divided in two parts, 254 and 2, that added together give a 8-th power (256 = 2^{8}).

It is a happy number.

2542 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

2542 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

2542 is an undulating number in base 9.

2542 is strictly pandigital in base 5.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2542 is a deficient number, since it is larger than the sum of its proper divisors (1490).

2542 is a wasteful number, since it uses less digits than its factorization.

2542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74.

The product of its digits is 80, while the sum is 13.

The square root of 2542 is about 50.4182506638. The cubic root of 2542 is about 13.6476700841.

The spelling of 2542 in words is "two thousand, five hundred forty-two".

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