2100495600 has 720 divisors, whose sum is σ = 9066919680. Its totient is φ = 439603200.

The previous prime is 2100495599. The next prime is 2100495623. The reversal of 2100495600 is 65940012.

2100495600 is a `hidden beast` number, since 2 + 10 + 0 + 49 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19630747 + ... + 19630853.

It is an arithmetic number, because the mean of its divisors is an integer number (12592944).

Almost surely, 2^2100495600 is an apocalyptic number.

2100495600 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 2100495600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

2100495600 is an abundant number, since it is smaller than the sum of its proper divisors (6966424080).

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

2100495600 is a wasteful number, since it uses less digits than its factorization.

2100495600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2100495600 is about 45831.1640698772. The cubic root of 2100495600 is about 1280.6798959581.

The spelling of 2100495600 in words is "two billion, one hundred million, four hundred ninety-five thousand, six hundred".