2542824 has 24 divisors (see below), whose sum is σ = 6887010. Its totient is φ = 847584.

The previous prime is 2542823. The next prime is 2542829. The reversal of 2542824 is 4282452.

It is a happy number.

2542824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 381924 = 1470^2 + 618^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2542823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17587 + ... + 17730.

2^2542824 is an apocalyptic number.

2542824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2542824 is an abundant number, since it is smaller than the sum of its proper divisors (4344186).

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

2542824 is a wasteful number, since it uses less digits than its factorization.

2542824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35329 (or 35322 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2542824 is about 1594.6234665274. The cubic root of 2542824 is about 136.4914457466.

It can be divided in two parts, 25428 and 24, that added together give a palindrome (25452).

The spelling of 2542824 in words is "two million, five hundred forty-two thousand, eight hundred twenty-four".