5017980240 has 640 divisors, whose sum is σ = 21748608000. Its totient is φ = 1056706560.

The previous prime is 5017980197. The next prime is 5017980251. The reversal of 5017980240 is 420897105.

5017980240 is a `hidden beast` number, since 501 + 79 + 80 + 2 + 4 + 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 = 5017980195 and 5017980204.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 9631180 + ... + 9631700.

It is an arithmetic number, because the mean of its divisors is an integer number (33982200).

Almost surely, 2^5017980240 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 5017980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10874304000).

5017980240 is an abundant number, since it is smaller than the sum of its proper divisors (16730627760).

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

5017980240 is a wasteful number, since it uses less digits than its factorization.

5017980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5017980240 is about 70837.7035200888. The cubic root of 5017980240 is about 1712.0232131391.

The spelling of 5017980240 in words is "five billion, seventeen million, nine hundred eighty thousand, two hundred forty".