2872476200 has 96 divisors (see below), whose sum is σ = 7311094560. Its totient is φ = 1040889600.

The previous prime is 2872476149. The next prime is 2872476223. The reversal of 2872476200 is 26742782.

It is a happy number.

It is a super-3 number, since 3×2872476200³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 673274 + ... + 677526.

It is an arithmetic number, because the mean of its divisors is an integer number (76157235).

Almost surely, 2^2872476200 is an apocalyptic number.

2872476200 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 2872476200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655547280).

2872476200 is an abundant number, since it is smaller than the sum of its proper divisors (4438618360).

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

2872476200 is a wasteful number, since it uses less digits than its factorization.

2872476200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2872476200 is about 53595.4867502852. The cubic root of 2872476200 is about 1421.5172897689.

The spelling of 2872476200 in words is "two billion, eight hundred seventy-two million, four hundred seventy-six thousand, two hundred".