2005823268 has 144 divisors (see below), whose sum is σ = 5479778304. Its totient is φ = 616412160.

The previous prime is 2005823257. The next prime is 2005823269. The reversal of 2005823268 is 8623285002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2005823269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10181746 + ... + 10181942.

It is an arithmetic number, because the mean of its divisors is an integer number (38054016).

Almost surely, 2^2005823268 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 2005823268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739889152).

2005823268 is an abundant number, since it is smaller than the sum of its proper divisors (3473955036).

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

2005823268 is a wasteful number, since it uses less digits than its factorization.

2005823268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2005823268 is about 44786.4183430647. The cubic root of 2005823268 is about 1261.1426746749.

The spelling of 2005823268 in words is "two billion, five million, eight hundred twenty-three thousand, two hundred sixty-eight".