2889984000 has 384 divisors, whose sum is σ = 9934928640. Its totient is φ = 745472000.

The previous prime is 2889983977. The next prime is 2889984001. The reversal of 2889984000 is 4899882.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2889984001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40703965 + ... + 40704035.

It is an arithmetic number, because the mean of its divisors is an integer number (25872210).

Almost surely, 2^2889984000 is an apocalyptic number.

2889984000 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 2889984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967464320).

2889984000 is an abundant number, since it is smaller than the sum of its proper divisors (7044944640).

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

2889984000 is an equidigital number, since it uses as much as digits as its factorization.

2889984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 2889984000 is about 53758.5714095901. The cubic root of 2889984000 is about 1424.3995007538.

The spelling of 2889984000 in words is "two billion, eight hundred eighty-nine million, nine hundred eighty-four thousand".