2105003664 has 240 divisors, whose sum is σ = 6338641920. Its totient is φ = 651006720.

The previous prime is 2105003653. The next prime is 2105003701. The reversal of 2105003664 is 4663005012.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16574769 + ... + 16574895.

It is an arithmetic number, because the mean of its divisors is an integer number (26411008).

Almost surely, 2^2105003664 is an apocalyptic number.

2105003664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169320960).

2105003664 is an abundant number, since it is smaller than the sum of its proper divisors (4233638256).

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

2105003664 is a wasteful number, since it uses less digits than its factorization.

2105003664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2105003664 is about 45880.3189178105. The cubic root of 2105003664 is about 1281.5954356985.

Adding to 2105003664 its reverse (4663005012), we get a palindrome (6768008676).

The spelling of 2105003664 in words is "two billion, one hundred five million, three thousand, six hundred sixty-four".