2812329000 has 432 divisors, whose sum is σ = 10538065980. Its totient is φ = 676166400.

The previous prime is 2812328999. The next prime is 2812329053. The reversal of 2812329000 is 9232182.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 123076836 + 2689252164 = 11094^2 + 51858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 65402979 + ... + 65403021.

Almost surely, 2^2812329000 is an apocalyptic number.

2812329000 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 2812329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269032990).

2812329000 is an abundant number, since it is smaller than the sum of its proper divisors (7725736980).

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

2812329000 is a wasteful number, since it uses less digits than its factorization.

2812329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2812329000 is about 53031.3963610237. The cubic root of 2812329000 is about 1411.5254352465.

The spelling of 2812329000 in words is "two billion, eight hundred twelve million, three hundred twenty-nine thousand".