2305000 has 40 divisors (see below), whose sum is σ = 5412330. Its totient is φ = 920000.

The previous prime is 2304997. The next prime is 2305003. The reversal of 2305000 is 5032.

2305000 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 (2304997) and next prime (2305003).

It can be written as a sum of positive squares in 5 ways, for example, as 676 + 2304324 = 26^2 + 1518^2 .

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 (10).

It is not an unprimeable number, because it can be changed into a prime (2305003) 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 9 ways as a sum of consecutive naturals, for example, 4770 + ... + 5230.

2^2305000 is an apocalyptic number.

2305000 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 2305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706165).

2305000 is an abundant number, since it is smaller than the sum of its proper divisors (3107330).

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

2305000 is an equidigital number, since it uses as much as digits as its factorization.

2305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 2305000 is about 1518.2226450689. Note that the first 3 decimals coincide. The cubic root of 2305000 is about 132.0961955672.

Subtracting from 2305000 its reverse (5032), we obtain a cube (2299968 = 132³).

The spelling of 2305000 in words is "two million, three hundred five thousand".