5208924240 has 320 divisors, whose sum is σ = 19520417280. Its totient is φ = 1269043200.

The previous prime is 5208924199. The next prime is 5208924251. The reversal of 5208924240 is 424298025.

5208924240 is a `hidden beast` number, since 520 + 8 + 92 + 4 + 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 = 5208924195 and 5208924204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2891340 + ... + 2893140.

It is an arithmetic number, because the mean of its divisors is an integer number (61001304).

Almost surely, 2^5208924240 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 5208924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760208640).

5208924240 is an abundant number, since it is smaller than the sum of its proper divisors (14311493040).

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

5208924240 is a wasteful number, since it uses less digits than its factorization.

5208924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5208924240 is about 72172.8774540686. The cubic root of 5208924240 is about 1733.4687372855.

The spelling of 5208924240 in words is "five billion, two hundred eight million, nine hundred twenty-four thousand, two hundred forty".