2123126656 has 128 divisors (see below), whose sum is σ = 5056344000. Its totient is φ = 868761600.

The previous prime is 2123126653. The next prime is 2123126683. The reversal of 2123126656 is 6566213212.

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

Its product of digits (25920) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123126653) 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, 2623980 + ... + 2624788.

Almost surely, 2^2123126656 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 2123126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528172000).

2123126656 is an abundant number, since it is smaller than the sum of its proper divisors (2933217344).

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

2123126656 is a wasteful number, since it uses less digits than its factorization.

2123126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 2123126656 is about 46077.3985376779. The cubic root of 2123126656 is about 1285.2628885749.

Adding to 2123126656 its reverse (6566213212), we get a palindrome (8689339868).

The spelling of 2123126656 in words is "two billion, one hundred twenty-three million, one hundred twenty-six thousand, six hundred fifty-six".