5931138240 has 252 divisors, whose sum is σ = 21089794752. Its totient is φ = 1529902080.

The previous prime is 5931138223. The next prime is 5931138259. The reversal of 5931138240 is 428311395.

5931138240 is a `hidden beast` number, since 593 + 11 + 38 + 24 + 0 = 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 = 5931138195 and 5931138204.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2766609 + ... + 2768751.

Almost surely, 2^5931138240 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 5931138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544897376).

5931138240 is an abundant number, since it is smaller than the sum of its proper divisors (15158656512).

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

5931138240 is a wasteful number, since it uses less digits than its factorization.

5931138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5931138240 is about 77013.8834237048. The cubic root of 5931138240 is about 1810.1421538078.

The spelling of 5931138240 in words is "five billion, nine hundred thirty-one million, one hundred thirty-eight thousand, two hundred forty".