2868673600 has 189 divisors, whose sum is σ = 7718405823. Its totient is φ = 1048919040.

The previous prime is 2868673583. The next prime is 2868673651. The reversal of 2868673600 is 63768682.

The square root of 2868673600 is 53560.

It is a perfect power (a square), and thus also a powerful number.

2868673600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 739404864 + 2129268736 = 27192^2 + 46144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27851149 + ... + 27851251.

Almost surely, 2^2868673600 is an apocalyptic number.

2868673600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2868673600 is the 53560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2868673600

2868673600 is an abundant number, since it is smaller than the sum of its proper divisors (4849732223).

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

2868673600 is a wasteful number, since it uses less digits than its factorization.

2868673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The cubic root of 2868673600 is about 1420.8897419338.

The spelling of 2868673600 in words is "two billion, eight hundred sixty-eight million, six hundred seventy-three thousand, six hundred".