2005020416 has 54 divisors (see below), whose sum is σ = 4655659680. Its totient is φ = 859289088.

The previous prime is 2005020397. The next prime is 2005020419. The reversal of 2005020416 is 6140205002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005020419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67376 + ... + 92463.

It is an arithmetic number, because the mean of its divisors is an integer number (86215920).

Almost surely, 2^2005020416 is an apocalyptic number.

It is an amenable number.

2005020416 is an abundant number, since it is smaller than the sum of its proper divisors (2650639264).

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

2005020416 is an equidigital number, since it uses as much as digits as its factorization.

2005020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159869 (or 159848 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2005020416 is about 44777.4543269266. The cubic root of 2005020416 is about 1260.9743903177.

Adding to 2005020416 its reverse (6140205002), we get a palindrome (8145225418).

The spelling of 2005020416 in words is "two billion, five million, twenty thousand, four hundred sixteen".