2005308 has 36 divisors (see below), whose sum is σ = 5169528. Its totient is φ = 655200.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005308 is 8035002.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1383 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (143598).

2^2005308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584764).

2005308 is an abundant number, since it is smaller than the sum of its proper divisors (3164220).

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

2005308 is a wasteful number, since it uses less digits than its factorization.

2005308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005308 is about 1416.0889802551. The cubic root of 2005308 is about 126.1034675443.

The spelling of 2005308 in words is "two million, five thousand, three hundred eight".