2812055136 has 288 divisors, whose sum is σ = 8864360064. Its totient is φ = 771379200.

The previous prime is 2812055131. The next prime is 2812055171. The reversal of 2812055136 is 6315502182.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2812055097 and 2812055106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812055131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17251791 + ... + 17251953.

It is an arithmetic number, because the mean of its divisors is an integer number (30779028).

Almost surely, 2^2812055136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432180032).

2812055136 is an abundant number, since it is smaller than the sum of its proper divisors (6052304928).

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

2812055136 is a wasteful number, since it uses less digits than its factorization.

2812055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2812055136 is about 53028.8142051093. The cubic root of 2812055136 is about 1411.4796157436.

The spelling of 2812055136 in words is "two billion, eight hundred twelve million, fifty-five thousand, one hundred thirty-six".