2509480 has 32 divisors (see below), whose sum is σ = 5781600. Its totient is φ = 979776.

The previous prime is 2509433. The next prime is 2509483. The reversal of 2509480 is 849052.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2509483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991 + ... + 2449.

It is an arithmetic number, because the mean of its divisors is an integer number (180675).

2^2509480 is an apocalyptic number.

2509480 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 2509480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890800).

2509480 is an abundant number, since it is smaller than the sum of its proper divisors (3272120).

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

2509480 is a wasteful number, since it uses less digits than its factorization.

2509480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2509480 is about 1584.1338327301. The cubic root of 2509480 is about 135.8922156381.

It can be divided in two parts, 250 and 9480, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 2509480 in words is "two million, five hundred nine thousand, four hundred eighty".