2788305 has 32 divisors (see below), whose sum is σ = 4892160. Its totient is φ = 1347840.

The previous prime is 2788301. The next prime is 2788309. The reversal of 2788305 is 5038872.

2788305 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 (2788301) and next prime (2788309).

It is not a de Polignac number, because 2788305 - 2² = 2788301 is a prime.

2788305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2788301) 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 31 ways as a sum of consecutive naturals, for example, 15315 + ... + 15495.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

2^2788305 is an apocalyptic number.

It is an amenable number.

2788305 is a deficient number, since it is larger than the sum of its proper divisors (2103855).

2788305 is a wasteful number, since it uses less digits than its factorization.

2788305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2788305 is about 1669.8218467849. The cubic root of 2788305 is about 140.7494670857.

The spelling of 2788305 in words is "two million, seven hundred eighty-eight thousand, three hundred five".