2005352160 has 96 divisors (see below), whose sum is σ = 7219279872. Its totient is φ = 458365440.

The previous prime is 2005352137. The next prime is 2005352177. The reversal of 2005352160 is 612535002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2005352160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295056 + ... + 301775.

It is an arithmetic number, because the mean of its divisors is an integer number (75200832).

Almost surely, 2^2005352160 is an apocalyptic number.

2005352160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005352160 is an abundant number, since it is smaller than the sum of its proper divisors (5213927712).

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

2005352160 is a wasteful number, since it uses less digits than its factorization.

2005352160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596856 (or 596848 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2005352160 is about 44781.1585379387. The cubic root of 2005352160 is about 1261.0439320233.

Adding to 2005352160 its reverse (612535002), we get a palindrome (2617887162).

The spelling of 2005352160 in words is "two billion, five million, three hundred fifty-two thousand, one hundred sixty".