2889234432 has 288 divisors, whose sum is σ = 9752652000. Its totient is φ = 823689216.

The previous prime is 2889234427. The next prime is 2889234463. The reversal of 2889234432 is 2344329882.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6321948 + ... + 6322404.

It is an arithmetic number, because the mean of its divisors is an integer number (33863375).

Almost surely, 2^2889234432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2889234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876326000).

2889234432 is an abundant number, since it is smaller than the sum of its proper divisors (6863417568).

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

2889234432 is an equidigital number, since it uses as much as digits as its factorization.

2889234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 469 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2889234432 is about 53751.5993436474. The cubic root of 2889234432 is about 1424.2763424473.

The spelling of 2889234432 in words is "two billion, eight hundred eighty-nine million, two hundred thirty-four thousand, four hundred thirty-two".