2122011648 has 352 divisors, whose sum is σ = 6791454720. Its totient is φ = 652861440.

The previous prime is 2122011643. The next prime is 2122011649. The reversal of 2122011648 is 8461102212.

2122011648 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 11 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122011643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29887453 + ... + 29887523.

Almost surely, 2^2122011648 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 2122011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395727360).

2122011648 is an abundant number, since it is smaller than the sum of its proper divisors (4669443072).

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

2122011648 is a wasteful number, since it uses less digits than its factorization.

2122011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2122011648 is about 46065.2976545251. The cubic root of 2122011648 is about 1285.0378542145.

The spelling of 2122011648 in words is "two billion, one hundred twenty-two million, eleven thousand, six hundred forty-eight".