5240545920 has 384 divisors, whose sum is σ = 18939258000. Its totient is φ = 1333592064.

The previous prime is 5240545909. The next prime is 5240545943. The reversal of 5240545920 is 295450425.

5240545920 is a `hidden beast` number, since 5 + 24 + 0 + 545 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3854919744 + 1385626176 = 62088^2 + 37224^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22884366 + ... + 22884594.

Almost surely, 2^5240545920 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 5240545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469629000).

5240545920 is an abundant number, since it is smaller than the sum of its proper divisors (13698712080).

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

5240545920 is a wasteful number, since it uses less digits than its factorization.

5240545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5240545920 is about 72391.6149840574. The cubic root of 5240545920 is about 1736.9694373691.

The spelling of 5240545920 in words is "five billion, two hundred forty million, five hundred forty-five thousand, nine hundred twenty".