2812671500 has 48 divisors (see below), whose sum is σ = 6168839040. Its totient is φ = 1120313600.

The previous prime is 2812671497. The next prime is 2812671503. The reversal of 2812671500 is 51762182.

It is an interprime number because it is at equal distance from previous prime (2812671497) and next prime (2812671503).

It is a super-2 number, since 2×2812671500² = 15822241933824500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2812671503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107732 + ... + 131268.

It is an arithmetic number, because the mean of its divisors is an integer number (128517480).

Almost surely, 2^2812671500 is an apocalyptic number.

2812671500 is a gapful number since it is divisible by the number (20) 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 2812671500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084419520).

2812671500 is an abundant number, since it is smaller than the sum of its proper divisors (3356167540).

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

2812671500 is a wasteful number, since it uses less digits than its factorization.

2812671500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23795 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 2812671500 is about 53034.6254818491. The cubic root of 2812671500 is about 1411.5827338813.

The spelling of 2812671500 in words is "two billion, eight hundred twelve million, six hundred seventy-one thousand, five hundred".