2005528160 has 24 divisors (see below), whose sum is σ = 4738060656. Its totient is φ = 802211200.

The previous prime is 2005528159. The next prime is 2005528163. The reversal of 2005528160 is 618255002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005528163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6267116 + ... + 6267435.

It is an arithmetic number, because the mean of its divisors is an integer number (197419194).

Almost surely, 2^2005528160 is an apocalyptic number.

2005528160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005528160 is an abundant number, since it is smaller than the sum of its proper divisors (2732532496).

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

2005528160 is a wasteful number, since it uses less digits than its factorization.

2005528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534566 (or 12534558 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 2005528160 is about 44783.1236070018. The cubic root of 2005528160 is about 1261.0808228405.

The spelling of 2005528160 in words is "two billion, five million, five hundred twenty-eight thousand, one hundred sixty".