2510080 has 72 divisors (see below), whose sum is σ = 6291432. Its totient is φ = 958464.

The previous prime is 2510077. The next prime is 2510083. The reversal of 2510080 is 800152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2510077) and next prime (2510083).

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 1557504 = 976^2 + 1248^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510083) 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 7 ways as a sum of consecutive naturals, for example, 47334 + ... + 47386.

It is an arithmetic number, because the mean of its divisors is an integer number (87381).

2^2510080 is an apocalyptic number.

2510080 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 2510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145716).

2510080 is an abundant number, since it is smaller than the sum of its proper divisors (3781352).

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

2510080 is an equidigital number, since it uses as much as digits as its factorization.

2510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2510080 is about 1584.3231993504. The cubic root of 2510080 is about 135.9030450837.

The spelling of 2510080 in words is "two million, five hundred ten thousand, eighty".