2875344000 has 256 divisors, whose sum is σ = 9795427200. Its totient is φ = 745574400.

The previous prime is 2875343971. The next prime is 2875344019. The reversal of 2875344000 is 4435782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775191 + ... + 1776809.

Almost surely, 2^2875344000 is an apocalyptic number.

2875344000 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 2875344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897713600).

2875344000 is an abundant number, since it is smaller than the sum of its proper divisors (6920083200).

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

2875344000 is a wasteful number, since it uses less digits than its factorization.

2875344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2875344000 is about 53622.2341944086. The cubic root of 2875344000 is about 1421.9902001418.

Adding to 2875344000 its reverse (4435782), we get a palindrome (2879779782).

The spelling of 2875344000 in words is "two billion, eight hundred seventy-five million, three hundred forty-four thousand".