2868616100 has 72 divisors (see below), whose sum is σ = 7130793600. Its totient is φ = 981227520.

The previous prime is 2868616099. The next prime is 2868616117. The reversal of 2868616100 is 16168682.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309737 + ... + 318863.

It is an arithmetic number, because the mean of its divisors is an integer number (99038800).

Almost surely, 2^2868616100 is an apocalyptic number.

2868616100 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 2868616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565396800).

2868616100 is an abundant number, since it is smaller than the sum of its proper divisors (4262177500).

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

2868616100 is a wasteful number, since it uses less digits than its factorization.

2868616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 2868616100 is about 53559.4632161302. The cubic root of 2868616100 is about 1420.8802483818.

The spelling of 2868616100 in words is "two billion, eight hundred sixty-eight million, six hundred sixteen thousand, one hundred".