2105600416 has 48 divisors (see below), whose sum is σ = 4428220104. Its totient is φ = 982073344.

The previous prime is 2105600401. The next prime is 2105600417. The reversal of 2105600416 is 6140065012.

It can be written as a sum of positive squares in 4 ways, for example, as 1155728016 + 949872400 = 33996^2 + 30820^2 .

It is a super-2 number, since 2×2105600416² = 8867106223718746112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2105600417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44346 + ... + 78598.

Almost surely, 2^2105600416 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 2105600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214110052).

2105600416 is an abundant number, since it is smaller than the sum of its proper divisors (2322619688).

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

2105600416 is a wasteful number, since it uses less digits than its factorization.

2105600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34393 (or 34385 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2105600416 is about 45886.8218119320. The cubic root of 2105600416 is about 1281.7165316682.

Adding to 2105600416 its reverse (6140065012), we get a palindrome (8245665428).

The spelling of 2105600416 in words is "two billion, one hundred five million, six hundred thousand, four hundred sixteen".