2122004736 has 144 divisors (see below), whose sum is σ = 6644635200. Its totient is φ = 665690112.

The previous prime is 2122004713. The next prime is 2122004737. The reversal of 2122004736 is 6374002212.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2122004737) 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, 108475 + ... + 126533.

It is an arithmetic number, because the mean of its divisors is an integer number (46143300).

Almost surely, 2^2122004736 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 2122004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322317600).

2122004736 is an abundant number, since it is smaller than the sum of its proper divisors (4522630464).

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

2122004736 is a wasteful number, since it uses less digits than its factorization.

2122004736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18101 (or 18081 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2122004736 is about 46065.2226305268. Note that the first 3 decimals coincide. The cubic root of 2122004736 is about 1285.0364589675.

Adding to 2122004736 its reverse (6374002212), we get a palindrome (8496006948).

The spelling of 2122004736 in words is "two billion, one hundred twenty-two million, four thousand, seven hundred thirty-six".