2875882800 has 240 divisors, whose sum is σ = 10594679040. Its totient is φ = 653214720.

The previous prime is 2875882777. The next prime is 2875882813. The reversal of 2875882800 is 82885782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2875882800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452211 + ... + 1454189.

It is an arithmetic number, because the mean of its divisors is an integer number (44144496).

Almost surely, 2^2875882800 is an apocalyptic number.

2875882800 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 2875882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297339520).

2875882800 is an abundant number, since it is smaller than the sum of its proper divisors (7718796240).

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

2875882800 is a wasteful number, since it uses less digits than its factorization.

2875882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 2875882800 is about 53627.2579944192. The cubic root of 2875882800 is about 1422.0790150764.

The spelling of 2875882800 in words is "two billion, eight hundred seventy-five million, eight hundred eighty-two thousand, eight hundred".