2048384520 has 384 divisors, whose sum is σ = 8462039040. Its totient is φ = 418037760.

The previous prime is 2048384467. The next prime is 2048384537. The reversal of 2048384520 is 254838402.

2048384520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1014552 + ... + 1016568.

It is an arithmetic number, because the mean of its divisors is an integer number (22036560).

Almost surely, 2^2048384520 is an apocalyptic number.

2048384520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048384520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231019520).

2048384520 is an abundant number, since it is smaller than the sum of its proper divisors (6413654520).

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

2048384520 is a wasteful number, since it uses less digits than its factorization.

2048384520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2048384520 is about 45259.0821824747. The cubic root of 2048384520 is about 1270.0003141339. Note that the first 3 decimals are identical.

The spelling of 2048384520 in words is "two billion, forty-eight million, three hundred eighty-four thousand, five hundred twenty".