2812288752 has 720 divisors, whose sum is σ = 10867304448. Its totient is φ = 670602240.

The previous prime is 2812288723. The next prime is 2812288763. The reversal of 2812288752 is 2578822182.

It is a junction number, because it is equal to n+sod(n) for n = 2812288698 and 2812288707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65402043 + ... + 65402085.

Almost surely, 2^2812288752 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 2812288752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433652224).

2812288752 is an abundant number, since it is smaller than the sum of its proper divisors (8055015696).

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

2812288752 is a wasteful number, since it uses less digits than its factorization.

2812288752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 2812288752 is about 53031.0168863468. The cubic root of 2812288752 is about 1411.5187016404.

The spelling of 2812288752 in words is "two billion, eight hundred twelve million, two hundred eighty-eight thousand, seven hundred fifty-two".