2812006120 has 288 divisors, whose sum is σ = 8252979840. Its totient is φ = 858950400.

The previous prime is 2812006111. The next prime is 2812006133. The reversal of 2812006120 is 216002182.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2812006091 and 2812006100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16838277 + ... + 16838443.

It is an arithmetic number, because the mean of its divisors is an integer number (28656180).

Almost surely, 2^2812006120 is an apocalyptic number.

2812006120 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 2812006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126489920).

2812006120 is an abundant number, since it is smaller than the sum of its proper divisors (5440973720).

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

2812006120 is a wasteful number, since it uses less digits than its factorization.

2812006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2812006120 is about 53028.3520392629. The cubic root of 2812006120 is about 1411.4714146850.

The spelling of 2812006120 in words is "two billion, eight hundred twelve million, six thousand, one hundred twenty".