2105625600 has 792 divisors, whose sum is σ = 8777372240. Its totient is φ = 477757440.

The previous prime is 2105625553. The next prime is 2105625623. The reversal of 2105625600 is 65265012.

2105625600 is a `hidden beast` number, since 2 + 1 + 0 + 56 + 2 + 5 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56908782 + ... + 56908818.

Almost surely, 2^2105625600 is an apocalyptic number.

2105625600 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 2105625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388686120).

2105625600 is an abundant number, since it is smaller than the sum of its proper divisors (6671746640).

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

2105625600 is a wasteful number, since it uses less digits than its factorization.

2105625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2105625600 is about 45887.0962254096. The cubic root of 2105625600 is about 1281.7216416311.

It can be divided in two parts, 21056 and 25600, that added together give a 6-th power (46656 = 6⁶).

The spelling of 2105625600 in words is "two billion, one hundred five million, six hundred twenty-five thousand, six hundred".