2868768000 has 432 divisors, whose sum is σ = 11805620736. Its totient is φ = 655257600.

The previous prime is 2868767977. The next prime is 2868768017. The reversal of 2868768000 is 8678682.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2015289 + ... + 2016711.

Almost surely, 2^2868768000 is an apocalyptic number.

2868768000 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 2868768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902810368).

2868768000 is an abundant number, since it is smaller than the sum of its proper divisors (8936852736).

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

2868768000 is a wasteful number, since it uses less digits than its factorization.

2868768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2868768000 is about 53560.8812474179. The cubic root of 2868768000 is about 1420.9053275946.

The spelling of 2868768000 in words is "two billion, eight hundred sixty-eight million, seven hundred sixty-eight thousand".