2504080 has 40 divisors (see below), whose sum is σ = 5894712. Its totient is φ = 989184.

The previous prime is 2504077. The next prime is 2504081. The reversal of 2504080 is 804052.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 2421136 = 288^2 + 1556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2504081) 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, 8902 + ... + 9178.

2^2504080 is an apocalyptic number.

2504080 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 2504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947356).

2504080 is an abundant number, since it is smaller than the sum of its proper divisors (3390632).

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

2504080 is a wasteful number, since it uses less digits than its factorization.

2504080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2504080 is about 1582.4285133933. The cubic root of 2504080 is about 135.7946728606.

The spelling of 2504080 in words is "two million, five hundred four thousand, eighty".