2005785780 has 48 divisors (see below), whose sum is σ = 5620212864. Its totient is φ = 534494080.

The previous prime is 2005785757. The next prime is 2005785781. The reversal of 2005785780 is 875875002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005785781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78385 + ... + 100775.

It is an arithmetic number, because the mean of its divisors is an integer number (117087768).

Almost surely, 2^2005785780 is an apocalyptic number.

2005785780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005785780 is an abundant number, since it is smaller than the sum of its proper divisors (3614427084).

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

2005785780 is a wasteful number, since it uses less digits than its factorization.

2005785780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23896 (or 23894 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 2005785780 is about 44785.9998213728. Note that the first 3 decimals coincide. The cubic root of 2005785780 is about 1261.1348178825.

The spelling of 2005785780 in words is "two billion, five million, seven hundred eighty-five thousand, seven hundred eighty".