2812052768 has 144 divisors (see below), whose sum is σ = 6655128480. Its totient is φ = 1165538304.

The previous prime is 2812052731. The next prime is 2812052791. The reversal of 2812052768 is 8672502182.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12068780 + ... + 12069012.

It is an arithmetic number, because the mean of its divisors is an integer number (46216170).

Almost surely, 2^2812052768 is an apocalyptic number.

2812052768 is a gapful number since it is divisible by the number (28) 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 2812052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327564240).

2812052768 is an abundant number, since it is smaller than the sum of its proper divisors (3843075712).

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

2812052768 is a wasteful number, since it uses less digits than its factorization.

2812052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 2812052768 is about 53028.7918776206. The cubic root of 2812052768 is about 1411.4792195464.

The spelling of 2812052768 in words is "two billion, eight hundred twelve million, fifty-two thousand, seven hundred sixty-eight".