2815280 has 40 divisors (see below), whose sum is σ = 7051632. Its totient is φ = 1039104.

The previous prime is 2815271. The next prime is 2815289. The reversal of 2815280 is 825182.

2815280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2815271) and next prime (2815289).

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2815289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314 + ... + 2393.

2^2815280 is an apocalyptic number.

2815280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2815280 is an abundant number, since it is smaller than the sum of its proper divisors (4236352).

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

2815280 is a wasteful number, since it uses less digits than its factorization.

2815280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 2815280 is about 1677.8796142751. The cubic root of 2815280 is about 141.2018971087.

The spelling of 2815280 in words is "two million, eight hundred fifteen thousand, two hundred eighty".