2509805 has 16 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 1834560.

The previous prime is 2509777. The next prime is 2509807. The reversal of 2509805 is 5089052.

It is a de Polignac number, because none of the positive numbers 2^k-2509805 is a prime.

It is a super-2 number, since 2×2509805² = 12598242276050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2300 + ... + 3210.

It is an arithmetic number, because the mean of its divisors is an integer number (205200).

2^2509805 is an apocalyptic number.

It is an amenable number.

2509805 is a deficient number, since it is larger than the sum of its proper divisors (773395).

2509805 is a wasteful number, since it uses less digits than its factorization.

2509805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 2509805 is about 1584.2364091259. The cubic root of 2509805 is about 135.8980818021.

The spelling of 2509805 in words is "two million, five hundred nine thousand, eight hundred five".