2120005664 has 96 divisors (see below), whose sum is σ = 4838714496. Its totient is φ = 895610880.

The previous prime is 2120005661. The next prime is 2120005673. The reversal of 2120005664 is 4665000212.

It is not an unprimeable number, because it can be changed into a prime (2120005661) 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, 8796584 + ... + 8796824.

It is an arithmetic number, because the mean of its divisors is an integer number (50403276).

Almost surely, 2^2120005664 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 2120005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419357248).

2120005664 is an abundant number, since it is smaller than the sum of its proper divisors (2718708832).

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

2120005664 is a wasteful number, since it uses less digits than its factorization.

2120005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2120005664 is about 46043.5192399538. The cubic root of 2120005664 is about 1284.6328017608.

Adding to 2120005664 its reverse (4665000212), we get a palindrome (6785005876).

The spelling of 2120005664 in words is "two billion, one hundred twenty million, five thousand, six hundred sixty-four".