2134205584 has 240 divisors, whose sum is σ = 5317963200. Its totient is φ = 825043968.

The previous prime is 2134205531. The next prime is 2134205587. The reversal of 2134205584 is 4855024312.

It is not an unprimeable number, because it can be changed into a prime (2134205587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36172947 + ... + 36173005.

It is an arithmetic number, because the mean of its divisors is an integer number (22158180).

Almost surely, 2^2134205584 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 2134205584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658981600).

2134205584 is an abundant number, since it is smaller than the sum of its proper divisors (3183757616).

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

2134205584 is a wasteful number, since it uses less digits than its factorization.

2134205584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 2134205584 is about 46197.4629606432. The cubic root of 2134205584 is about 1287.4946032262.

Adding to 2134205584 its reverse (4855024312), we get a palindrome (6989229896).

The spelling of 2134205584 in words is "two billion, one hundred thirty-four million, two hundred five thousand, five hundred eighty-four".