2812365800 has 48 divisors (see below), whose sum is σ = 6554928300. Its totient is φ = 1122163200.

The previous prime is 2812365791. The next prime is 2812365833. The reversal of 2812365800 is 85632182.

2812365800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1034394244 + 1777971556 = 32162^2 + 42166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64610 + ... + 98990.

Almost surely, 2^2812365800 is an apocalyptic number.

2812365800 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 2812365800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277464150).

2812365800 is an abundant number, since it is smaller than the sum of its proper divisors (3742562500).

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

2812365800 is a wasteful number, since it uses less digits than its factorization.

2812365800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34806 (or 34797 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2812365800 is about 53031.7433241639. The cubic root of 2812365800 is about 1411.5315919360.

Adding to 2812365800 its reverse (85632182), we get a palindrome (2897997982).

The spelling of 2812365800 in words is "two billion, eight hundred twelve million, three hundred sixty-five thousand, eight hundred".