2889216000 has 832 divisors, whose sum is σ = 12266841600. Its totient is φ = 663552000.

The previous prime is 2889215971. The next prime is 2889216013. The reversal of 2889216000 is 6129882.

2889216000 is a `hidden beast` number, since 28 + 8 + 9 + 21 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152063991 + ... + 152064009.

It is an arithmetic number, because the mean of its divisors is an integer number (14743800).

Almost surely, 2^2889216000 is an apocalyptic number.

2889216000 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 2889216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133420800).

2889216000 is an abundant number, since it is smaller than the sum of its proper divisors (9377625600).

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

2889216000 is a wasteful number, since it uses less digits than its factorization.

2889216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2889216000 is about 53751.4278880106. The cubic root of 2889216000 is about 1424.2733136960.

The spelling of 2889216000 in words is "two billion, eight hundred eighty-nine million, two hundred sixteen thousand".