2868989200 has 240 divisors, whose sum is σ = 8773545600. Its totient is φ = 893760000.

The previous prime is 2868989161. The next prime is 2868989231. The reversal of 2868989200 is 29898682.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508250 + ... + 1510150.

It is an arithmetic number, because the mean of its divisors is an integer number (36556440).

Almost surely, 2^2868989200 is an apocalyptic number.

2868989200 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 2868989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386772800).

2868989200 is an abundant number, since it is smaller than the sum of its proper divisors (5904556400).

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

2868989200 is a wasteful number, since it uses less digits than its factorization.

2868989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 2868989200 is about 53562.9461475001. The cubic root of 2868989200 is about 1420.9418468926.

The spelling of 2868989200 in words is "two billion, eight hundred sixty-eight million, nine hundred eighty-nine thousand, two hundred".