2005010316 has 72 divisors (see below), whose sum is σ = 5215521584. Its totient is φ = 648984960.

The previous prime is 2005010297. The next prime is 2005010317. The reversal of 2005010316 is 6130105002.

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

It is not an unprimeable number, because it can be changed into a prime (2005010317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855306 + ... + 857646.

Almost surely, 2^2005010316 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 2005010316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607760792).

2005010316 is an abundant number, since it is smaller than the sum of its proper divisors (3210511268).

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

2005010316 is a wasteful number, since it uses less digits than its factorization.

2005010316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2005010316 is about 44777.3415468136. The cubic root of 2005010316 is about 1260.9722729888.

Adding to 2005010316 its reverse (6130105002), we get a palindrome (8135115318).

The spelling of 2005010316 in words is "two billion, five million, ten thousand, three hundred sixteen".