2509120 has 28 divisors (see below), whose sum is σ = 5975604. Its totient is φ = 1003520.

The previous prime is 2509103. The next prime is 2509123. The reversal of 2509120 is 219052.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 1617984 = 944^2 + 1272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3601 + ... + 4240.

2^2509120 is an apocalyptic number.

2509120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2509120 is an abundant number, since it is smaller than the sum of its proper divisors (3466484).

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

2509120 is an equidigital number, since it uses as much as digits as its factorization.

2509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7858 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 2509120 is about 1584.0202018914. The cubic root of 2509120 is about 135.8857171421.

The spelling of 2509120 in words is "two million, five hundred nine thousand, one hundred twenty".