2827706112 has 810 divisors, whose sum is σ = 11249779464. Its totient is φ = 702535680.

The previous prime is 2827706099. The next prime is 2827706149. The reversal of 2827706112 is 2116077282.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 122943733 + ... + 122943755.

Almost surely, 2^2827706112 is an apocalyptic number.

2827706112 is a gapful number since it is divisible by the number (22) 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 2827706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624889732).

2827706112 is an abundant number, since it is smaller than the sum of its proper divisors (8422073352).

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

2827706112 is a wasteful number, since it uses less digits than its factorization.

2827706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2827706112 is about 53176.1799304914. The cubic root of 2827706112 is about 1414.0933833696.

It can be divided in two parts, 282770 and 6112, that added together give a palindrome (288882).

The spelling of 2827706112 in words is "two billion, eight hundred twenty-seven million, seven hundred six thousand, one hundred twelve".