2813846112 has 288 divisors, whose sum is σ = 10038712320. Its totient is φ = 726312960.

The previous prime is 2813846111. The next prime is 2813846117. The reversal of 2813846112 is 2116483182.

2813846112 is a `hidden beast` number, since 2 + 8 + 1 + 38 + 4 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813846111) 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 47 ways as a sum of consecutive naturals, for example, 4944964 + ... + 4945532.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^2813846112 is an apocalyptic number.

2813846112 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 2813846112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2813846112 is an abundant number, since it is smaller than the sum of its proper divisors (7224866208).

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

2813846112 is a wasteful number, since it uses less digits than its factorization.

2813846112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2813846112 is about 53045.6983364344. The cubic root of 2813846112 is about 1411.7792056060.

It can be divided in two parts, 281384 and 6112, that added together give a cube (287496 = 66³).

The spelling of 2813846112 in words is "two billion, eight hundred thirteen million, eight hundred forty-six thousand, one hundred twelve".