2812365360 has 420 divisors, whose sum is σ = 11340775632. Its totient is φ = 635081472.

The previous prime is 2812365299. The next prime is 2812365373. The reversal of 2812365360 is 635632182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83 ways as a sum of consecutive naturals, for example, 33883879 + ... + 33883961.

Almost surely, 2^2812365360 is an apocalyptic number.

2812365360 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 2812365360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670387816).

2812365360 is an abundant number, since it is smaller than the sum of its proper divisors (8528410272).

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

2812365360 is an frugal number, since it uses more digits than its factorization.

2812365360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2812365360 is about 53031.7391757050. The cubic root of 2812365360 is about 1411.5315183237.

The spelling of 2812365360 in words is "two billion, eight hundred twelve million, three hundred sixty-five thousand, three hundred sixty".