2005753960 has 32 divisors (see below), whose sum is σ = 5157653760. Its totient is φ = 687686976.

The previous prime is 2005753951. The next prime is 2005753987. The reversal of 2005753960 is 693575002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3581424 + ... + 3581983.

It is an arithmetic number, because the mean of its divisors is an integer number (161176680).

Almost surely, 2^2005753960 is an apocalyptic number.

2005753960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005753960 is an abundant number, since it is smaller than the sum of its proper divisors (3151899800).

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

2005753960 is a wasteful number, since it uses less digits than its factorization.

2005753960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163425 (or 7163421 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 2005753960 is about 44785.6445750198. The cubic root of 2005753960 is about 1261.1281489214.

The spelling of 2005753960 in words is "two billion, five million, seven hundred fifty-three thousand, nine hundred sixty".