2869876800 has 504 divisors, whose sum is σ = 11851062912. Its totient is φ = 645120000.

The previous prime is 2869876781. The next prime is 2869876901. The reversal of 2869876800 is 86789682.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 7156600 + ... + 7157000.

Almost surely, 2^2869876800 is an apocalyptic number.

2869876800 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 2869876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925531456).

2869876800 is an abundant number, since it is smaller than the sum of its proper divisors (8981186112).

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

2869876800 is a wasteful number, since it uses less digits than its factorization.

2869876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2869876800 is about 53571.2310853503. The cubic root of 2869876800 is about 1421.0883674791.

The spelling of 2869876800 in words is "two billion, eight hundred sixty-nine million, eight hundred seventy-six thousand, eight hundred".