2812852224 has 576 divisors, whose sum is σ = 10551340800. Its totient is φ = 724598784.

The previous prime is 2812852213. The next prime is 2812852241. The reversal of 2812852224 is 4222582182.

It is a happy number.

2812852224 is a `hidden beast` number, since 2 + 8 + 128 + 522 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65415147 + ... + 65415189.

It is an arithmetic number, because the mean of its divisors is an integer number (18318300).

Almost surely, 2^2812852224 is an apocalyptic number.

2812852224 is a gapful number since it is divisible by the number (24) 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 2812852224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275670400).

2812852224 is an abundant number, since it is smaller than the sum of its proper divisors (7738488576).

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

2812852224 is a wasteful number, since it uses less digits than its factorization.

2812852224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 2812852224 is about 53036.3292847459. The cubic root of 2812852224 is about 1411.6129662795.

The spelling of 2812852224 in words is "two billion, eight hundred twelve million, eight hundred fifty-two thousand, two hundred twenty-four".