5809134240 has 576 divisors, whose sum is σ = 25482885120. Its totient is φ = 1225082880.

The previous prime is 5809134203. The next prime is 5809134257. The reversal of 5809134240 is 424319085.

5809134240 is a `hidden beast` number, since 580 + 9 + 1 + 34 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5809134195 and 5809134204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2750785 + ... + 2752895.

It is an arithmetic number, because the mean of its divisors is an integer number (44241120).

Almost surely, 2^5809134240 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 5809134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741442560).

5809134240 is an abundant number, since it is smaller than the sum of its proper divisors (19673750880).

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

5809134240 is a wasteful number, since it uses less digits than its factorization.

5809134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5809134240 is about 76217.6766898598. The cubic root of 5809134240 is about 1797.6444743997.

The spelling of 5809134240 in words is "five billion, eight hundred nine million, one hundred thirty-four thousand, two hundred forty".