2854584960 has 128 divisors (see below), whose sum is σ = 9134467200. Its totient is φ = 758255616.

The previous prime is 2854584949. The next prime is 2854584989. The reversal of 2854584960 is 694854582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513717 + ... + 519243.

It is an arithmetic number, because the mean of its divisors is an integer number (71363025).

Almost surely, 2^2854584960 is an apocalyptic number.

2854584960 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 2854584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567233600).

2854584960 is an abundant number, since it is smaller than the sum of its proper divisors (6279882240).

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

2854584960 is a wasteful number, since it uses less digits than its factorization.

2854584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 2854584960 is about 53428.3160880071. The cubic root of 2854584960 is about 1418.5598306177.

The spelling of 2854584960 in words is "two billion, eight hundred fifty-four million, five hundred eighty-four thousand, nine hundred sixty".