2509052 has 48 divisors (see below), whose sum is σ = 5541312. Its totient is φ = 967680.

The previous prime is 2509037. The next prime is 2509061.

It is a happy number.

2509052 is nontrivially palindromic in base 10.

2509052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22148 + ... + 22260.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

2^2509052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770656).

2509052 is an abundant number, since it is smaller than the sum of its proper divisors (3032260).

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

2509052 is a wasteful number, since it uses less digits than its factorization.

2509052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2509052 is about 1583.9987373732. The cubic root of 2509052 is about 135.8844895786.

The spelling of 2509052 in words is "two million, five hundred nine thousand, fifty-two".