4589540000 has 240 divisors, whose sum is σ = 12027181320. Its totient is φ = 1720320000.

The previous prime is 4589539993. The next prime is 4589540017. The reversal of 4589540000 is 459854.

It can be written as a sum of positive squares in 20 ways, for example, as 3576518416 + 1013021584 = 59804^2 + 31828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23779904 + ... + 23780096.

Almost surely, 2^4589540000 is an apocalyptic number.

4589540000 is a gapful number since it is divisible by the number (40) 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 4589540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013590660).

4589540000 is an abundant number, since it is smaller than the sum of its proper divisors (7437641320).

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

4589540000 is a wasteful number, since it uses less digits than its factorization.

4589540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 4589540000 is about 67746.1438016955. The cubic root of 4589540000 is about 1661.8419578993.

Adding to 4589540000 its reverse (459854), we get a palindrome (4589999854).

The spelling of 4589540000 in words is "four billion, five hundred eighty-nine million, five hundred forty thousand".