2523642 has 16 divisors (see below), whose sum is σ = 5506272. Its totient is φ = 764720.

The previous prime is 2523641. The next prime is 2523643. The reversal of 2523642 is 2463252.

2523642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2523641) and next prime (2523643).

It is a d-powerful number, because it can be written as 2⁷ + 5⁹ + 2¹¹ + 3¹² + 6² + 4⁶ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (2523641) 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 7 ways as a sum of consecutive naturals, for example, 19053 + ... + 19184.

It is an arithmetic number, because the mean of its divisors is an integer number (344142).

2^2523642 is an apocalyptic number.

2523642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2523642 is an abundant number, since it is smaller than the sum of its proper divisors (2982630).

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

2523642 is a wasteful number, since it uses less digits than its factorization.

2523642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38253.

The product of its digits is 2880, while the sum is 24.

The square root of 2523642 is about 1588.5974946474. The cubic root of 2523642 is about 136.1473676502.

Adding to 2523642 its reverse (2463252), we get a palindrome (4986894).

The spelling of 2523642 in words is "two million, five hundred twenty-three thousand, six hundred forty-two".