2005015032 has 80 divisors (see below), whose sum is σ = 5623421760. Its totient is φ = 667443456.

The previous prime is 2005015031. The next prime is 2005015043. The reversal of 2005015032 is 2305105002.

It is a happy number.

2005015032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2005015032² = 8040170557091922048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2005014996 and 2005015014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005015031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 631513 + ... + 634679.

It is an arithmetic number, because the mean of its divisors is an integer number (70292772).

Almost surely, 2^2005015032 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 2005015032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811710880).

2005015032 is an abundant number, since it is smaller than the sum of its proper divisors (3618406728).

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

2005015032 is a wasteful number, since it uses less digits than its factorization.

2005015032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2005015032 is about 44777.3942073453. The cubic root of 2005015032 is about 1260.9732616355.

The spelling of 2005015032 in words is "two billion, five million, fifteen thousand, thirty-two".