2005541328 has 160 divisors (see below), whose sum is σ = 6112116736. Its totient is φ = 554770944.

The previous prime is 2005541299. The next prime is 2005541353. The reversal of 2005541328 is 8231455002.

It is a junction number, because it is equal to n+sod(n) for n = 2005541295 and 2005541304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1834350 + ... + 1835442.

Almost surely, 2^2005541328 is an apocalyptic number.

2005541328 is a gapful number since it is divisible by the number (28) 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 2005541328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056058368).

2005541328 is an abundant number, since it is smaller than the sum of its proper divisors (4106575408).

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

2005541328 is a wasteful number, since it uses less digits than its factorization.

2005541328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2005541328 is about 44783.2706264292. The cubic root of 2005541328 is about 1261.0835828575.

The spelling of 2005541328 in words is "two billion, five million, five hundred forty-one thousand, three hundred twenty-eight".