2847312000 has 640 divisors, whose sum is σ = 11455844400. Its totient is φ = 700876800.

The previous prime is 2847311947. The next prime is 2847312043. The reversal of 2847312000 is 2137482.

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 8 ways, for example, as 1461685824 + 1385626176 = 38232^2 + 37224^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 219023994 + ... + 219024006.

Almost surely, 2^2847312000 is an apocalyptic number.

2847312000 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 2847312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727922200).

2847312000 is an abundant number, since it is smaller than the sum of its proper divisors (8608532400).

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

2847312000 is an frugal number, since it uses more digits than its factorization.

2847312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2847312000 is about 53360.2098946397. The cubic root of 2847312000 is about 1417.3540624091.

Adding to 2847312000 its reverse (2137482), we get a palindrome (2849449482).

The spelling of 2847312000 in words is "two billion, eight hundred forty-seven million, three hundred twelve thousand".