2289216000 has 160 divisors (see below), whose sum is σ = 7611709248. Its totient is φ = 610406400.

The previous prime is 2289215977. The next prime is 2289216023. The reversal of 2289216000 is 6129822.

It is an interprime number because it is at equal distance from previous prime (2289215977) and next prime (2289216023).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186039 + ... + 197961.

Almost surely, 2^2289216000 is an apocalyptic number.

2289216000 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 2289216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805854624).

2289216000 is an abundant number, since it is smaller than the sum of its proper divisors (5322493248).

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

2289216000 is an equidigital number, since it uses as much as digits as its factorization.

2289216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11959 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2289216000 is about 47845.7521625483. The cubic root of 2289216000 is about 1317.9398534006.

The spelling of 2289216000 in words is "two billion, two hundred eighty-nine million, two hundred sixteen thousand".