2872821600 has 576 divisors, whose sum is σ = 11541761280. Its totient is φ = 683827200.

The previous prime is 2872821587. The next prime is 2872821617. The reversal of 2872821600 is 61282782.

It is a happy number.

2872821600 is a `hidden beast` number, since 2 + 8 + 7 + 28 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25423144 + ... + 25423256.

It is an arithmetic number, because the mean of its divisors is an integer number (20037780).

Almost surely, 2^2872821600 is an apocalyptic number.

2872821600 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 2872821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770880640).

2872821600 is an abundant number, since it is smaller than the sum of its proper divisors (8668939680).

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

2872821600 is a wasteful number, since it uses less digits than its factorization.

2872821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2872821600 is about 53598.7089396750. The cubic root of 2872821600 is about 1421.5742641190.

It can be divided in two parts, 287282 and 1600, that added together give a palindrome (288882).

The spelling of 2872821600 in words is "two billion, eight hundred seventy-two million, eight hundred twenty-one thousand, six hundred".