2005948416 has 96 divisors (see below), whose sum is σ = 5383385280. Its totient is φ = 664215552.

The previous prime is 2005948387. The next prime is 2005948423. The reversal of 2005948416 is 6148495002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000471 + ... + 1002473.

It is an arithmetic number, because the mean of its divisors is an integer number (56076930).

Almost surely, 2^2005948416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691692640).

2005948416 is an abundant number, since it is smaller than the sum of its proper divisors (3377436864).

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

2005948416 is a wasteful number, since it uses less digits than its factorization.

2005948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2005948416 is about 44787.8154859109. The cubic root of 2005948416 is about 1261.1689026754.

The spelling of 2005948416 in words is "two billion, five million, nine hundred forty-eight thousand, four hundred sixteen".