2122806723648 has 448 divisors, whose sum is σ = 6503032553472. Its totient is φ = 605355540480.

The previous prime is 2122806723619. The next prime is 2122806723701. The reversal of 2122806723648 is 8463276082212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2122806723648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 834763465 + ... + 834766007.

It is an arithmetic number, because the mean of its divisors is an integer number (14515697664).

Almost surely, 2^{2122806723648} 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 2122806723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251516276736).

2122806723648 is an abundant number, since it is smaller than the sum of its proper divisors (4380225829824).

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

2122806723648 is a wasteful number, since it uses less digits than its factorization.

2122806723648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 2122806723648 in words is "two trillion, one hundred twenty-two billion, eight hundred six million, seven hundred twenty-three thousand, six hundred forty-eight".