2005838464 has 128 divisors (see below), whose sum is σ = 4808263680. Its totient is φ = 814894080.

The previous prime is 2005838407. The next prime is 2005838467. The reversal of 2005838464 is 4648385002.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2005838467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2699277 + ... + 2700019.

It is an arithmetic number, because the mean of its divisors is an integer number (37564560).

Almost surely, 2^2005838464 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 2005838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404131840).

2005838464 is an abundant number, since it is smaller than the sum of its proper divisors (2802425216).

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

2005838464 is a wasteful number, since it uses less digits than its factorization.

2005838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2005838464 is about 44786.5879923890. The cubic root of 2005838464 is about 1261.1458594479.

The spelling of 2005838464 in words is "two billion, five million, eight hundred thirty-eight thousand, four hundred sixty-four".