2115005112 has 96 divisors (see below), whose sum is σ = 6520625280. Its totient is φ = 613039680.

The previous prime is 2115005093. The next prime is 2115005141.

2115005112 is a `hidden beast` number, since 2 + 1 + 150 + 0 + 511 + 2 = 666.

2115005112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2115005112³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 39838 + ... + 76269.

It is an arithmetic number, because the mean of its divisors is an integer number (67923180).

Almost surely, 2^2115005112 is an apocalyptic number.

2115005112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2115005112 is an abundant number, since it is smaller than the sum of its proper divisors (4405620168).

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

2115005112 is a wasteful number, since it uses less digits than its factorization.

2115005112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116153 (or 116146 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 2115005112 is about 45989.1847285859. The cubic root of 2115005112 is about 1283.6219663303.

It can be divided in two parts, 211500 and 5112, that added together give a palindrome (216612).

The spelling of 2115005112 in words is "two billion, one hundred fifteen million, five thousand, one hundred twelve".