2005780416 has 56 divisors (see below), whose sum is σ = 5313419904. Its totient is φ = 667779840.

The previous prime is 2005780379. The next prime is 2005780417. The reversal of 2005780416 is 6140875002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005780417) 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 7 ways as a sum of consecutive naturals, for example, 163621 + ... + 175451.

Almost surely, 2^2005780416 is an apocalyptic number.

It is an amenable number.

2005780416 is an abundant number, since it is smaller than the sum of its proper divisors (3307639488).

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

2005780416 is a wasteful number, since it uses less digits than its factorization.

2005780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12729 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2005780416 is about 44785.9399365471. The cubic root of 2005780416 is about 1261.1336936791.

The spelling of 2005780416 in words is "two billion, five million, seven hundred eighty thousand, four hundred sixteen".