2289216384 has 512 divisors, whose sum is σ = 8636544000. Its totient is φ = 580608000.

The previous prime is 2289216383. The next prime is 2289216389. The reversal of 2289216384 is 4836129822.

2289216384 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 2 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×2289216384³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289216383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9120259 + ... + 9120509.

It is an arithmetic number, because the mean of its divisors is an integer number (16868250).

Almost surely, 2^2289216384 is an apocalyptic number.

2289216384 is a gapful number since it is divisible by the number (24) 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 2289216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272000).

2289216384 is an abundant number, since it is smaller than the sum of its proper divisors (6347327616).

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

2289216384 is a wasteful number, since it uses less digits than its factorization.

2289216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2289216384 is about 47845.7561754436. The cubic root of 2289216384 is about 1317.9399270924.

The spelling of 2289216384 in words is "two billion, two hundred eighty-nine million, two hundred sixteen thousand, three hundred eighty-four".