2105524960 has 384 divisors, whose sum is σ = 6618931200. Its totient is φ = 613785600.

The previous prime is 2105524937. The next prime is 2105524973. The reversal of 2105524960 is 694255012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14130966 + ... + 14131114.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2^2105524960 is an apocalyptic number.

2105524960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105524960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309465600).

2105524960 is an abundant number, since it is smaller than the sum of its proper divisors (4513406240).

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

2105524960 is a wasteful number, since it uses less digits than its factorization.

2105524960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2105524960 is about 45885.9996077235. Note that the first 3 decimals coincide. The cubic root of 2105524960 is about 1281.7012210142.

Adding to 2105524960 its reverse (694255012), we get a palindrome (2799779972).

It can be divided in two parts, 210552 and 4960, that added together give a palindrome (215512).

The spelling of 2105524960 in words is "two billion, one hundred five million, five hundred twenty-four thousand, nine hundred sixty".