2015085820 has 96 divisors (see below), whose sum is σ = 4936329216. Its totient is φ = 682828800.

The previous prime is 2015085817. The next prime is 2015085827. The reversal of 2015085820 is 285805102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015085827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382605 + ... + 387835.

It is an arithmetic number, because the mean of its divisors is an integer number (51420096).

Almost surely, 2^2015085820 is an apocalyptic number.

2015085820 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 2015085820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468164608).

2015085820 is an abundant number, since it is smaller than the sum of its proper divisors (2921243396).

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

2015085820 is a wasteful number, since it uses less digits than its factorization.

2015085820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 2015085820 is about 44889.7072835188. The cubic root of 2015085820 is about 1263.0809419306.

The spelling of 2015085820 in words is "two billion, fifteen million, eighty-five thousand, eight hundred twenty".