2868984000 has 168 divisors, whose sum is σ = 10263091488. Its totient is φ = 765043200.

The previous prime is 2868983989. The next prime is 2868984029. The reversal of 2868984000 is 4898682.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 52077 + ... + 91923.

Almost surely, 2^2868984000 is an apocalyptic number.

2868984000 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 2868984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131545744).

2868984000 is an abundant number, since it is smaller than the sum of its proper divisors (7394107488).

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

2868984000 is a wasteful number, since it uses less digits than its factorization.

2868984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39880 (or 39857 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2868984000 is about 53562.8976064589. The cubic root of 2868984000 is about 1420.9409884134.

The spelling of 2868984000 in words is "two billion, eight hundred sixty-eight million, nine hundred eighty-four thousand".