5484810240 has 832 divisors, whose sum is σ = 24219148800. Its totient is φ = 1146617856.

The previous prime is 5484810203. The next prime is 5484810241. The reversal of 5484810240 is 420184845.

5484810240 is a `hidden beast` number, since 548 + 4 + 8 + 102 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 = 5484810195 and 5484810204.

It is not an unprimeable number, because it can be changed into a prime (5484810241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50319306 + ... + 50319414.

Almost surely, 2^5484810240 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 5484810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109574400).

5484810240 is an abundant number, since it is smaller than the sum of its proper divisors (18734338560).

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

5484810240 is a wasteful number, since it uses less digits than its factorization.

5484810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5484810240 is about 74059.5047242418. The cubic root of 5484810240 is about 1763.5476650368.

The spelling of 5484810240 in words is "five billion, four hundred eighty-four million, eight hundred ten thousand, two hundred forty".