2812211328 has 64 divisors (see below), whose sum is σ = 7481944800. Its totient is φ = 935897088.

The previous prime is 2812211327. The next prime is 2812211329. The reversal of 2812211328 is 8231122182.

It is an interprime number because it is at equal distance from previous prime (2812211327) and next prime (2812211329).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 2812211295 and 2812211304.

It is not an unprimeable number, because it can be changed into a prime (2812211327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247500 + ... + 258612.

Almost surely, 2^2812211328 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 2812211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740972400).

2812211328 is an abundant number, since it is smaller than the sum of its proper divisors (4669733472).

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

2812211328 is a wasteful number, since it uses less digits than its factorization.

2812211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789 (or 11777 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2812211328 is about 53030.2868934348. The cubic root of 2812211328 is about 1411.5057482021.

The spelling of 2812211328 in words is "two billion, eight hundred twelve million, two hundred eleven thousand, three hundred twenty-eight".