2509080 has 128 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 548352.

The previous prime is 2509079. The next prime is 2509103. The reversal of 2509080 is 809052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2509080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24309 + ... + 24411.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

2^2509080 is an apocalyptic number.

2509080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

2509080 is an abundant number, since it is smaller than the sum of its proper divisors (6476520).

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

2509080 is a wasteful number, since it uses less digits than its factorization.

2509080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2509080 is about 1584.0075757395. The cubic root of 2509080 is about 135.8849950486.

Subtracting from 2509080 its sum of digits (24), we obtain a square (2509056 = 1584²).

The spelling of 2509080 in words is "two million, five hundred nine thousand, eighty".