2100005664 has 48 divisors (see below), whose sum is σ = 5515231680. Its totient is φ = 699656960.

The previous prime is 2100005629. The next prime is 2100005669. The reversal of 2100005664 is 4665000012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2100005669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256222 + ... + 264290.

It is an arithmetic number, because the mean of its divisors is an integer number (114900660).

Almost surely, 2^2100005664 is an apocalyptic number.

2100005664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100005664 is an abundant number, since it is smaller than the sum of its proper divisors (3415226016).

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

2100005664 is a wasteful number, since it uses less digits than its factorization.

2100005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10785 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2100005664 is about 45825.8187488232. The cubic root of 2100005664 is about 1280.5803162881.

Adding to 2100005664 its reverse (4665000012), we get a palindrome (6765005676).

The spelling of 2100005664 in words is "two billion, one hundred million, five thousand, six hundred sixty-four".