2289672000 has 1008 divisors, whose sum is σ = 10570098240. Its totient is φ = 467712000.

The previous prime is 2289671987. The next prime is 2289672053. The reversal of 2289672000 is 2769822.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 38807971 + ... + 38808029.

Almost surely, 2^2289672000 is an apocalyptic number.

2289672000 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 2289672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285049120).

2289672000 is an abundant number, since it is smaller than the sum of its proper divisors (8280426240).

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

2289672000 is a wasteful number, since it uses less digits than its factorization.

2289672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2289672000 is about 47850.5172385837. The cubic root of 2289672000 is about 1318.0273565274.

The spelling of 2289672000 in words is "two billion, two hundred eighty-nine million, six hundred seventy-two thousand".