2509830 has 48 divisors (see below), whose sum is σ = 6626880. Its totient is φ = 658944.

The previous prime is 2509823. The next prime is 2509831. The reversal of 2509830 is 389052.

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

It is a junction number, because it is equal to n+sod(n) for n = 2509794 and 2509803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6934 + ... + 7286.

It is an arithmetic number, because the mean of its divisors is an integer number (138060).

2^2509830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313440).

2509830 is an abundant number, since it is smaller than the sum of its proper divisors (4117050).

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

2509830 is a wasteful number, since it uses less digits than its factorization.

2509830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2509830 is about 1584.2442993427. The cubic root of 2509830 is about 135.8985330245.

The spelling of 2509830 in words is "two million, five hundred nine thousand, eight hundred thirty".