2510442 has 48 divisors (see below), whose sum is σ = 6140160. Its totient is φ = 734400.

The previous prime is 2510437. The next prime is 2510447. The reversal of 2510442 is 2440152.

2510442 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 (2510437) and next prime (2510447).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁹ + 1 + 0 + 4 + 4⁴ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2510447) 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 23 ways as a sum of consecutive naturals, for example, 5934 + ... + 6342.

It is an arithmetic number, because the mean of its divisors is an integer number (127920).

2^2510442 is an apocalyptic number.

2510442 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 2510442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070080).

2510442 is an abundant number, since it is smaller than the sum of its proper divisors (3629718).

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

2510442 is a wasteful number, since it uses less digits than its factorization.

2510442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2510442 is about 1584.4374395980. The cubic root of 2510442 is about 135.9095780146.

Adding to 2510442 its reverse (2440152), we get a palindrome (4950594).

The spelling of 2510442 in words is "two million, five hundred ten thousand, four hundred forty-two".