2101847616 has 560 divisors, whose sum is σ = 7435169280. Its totient is φ = 580608000.

The previous prime is 2101847591. The next prime is 2101847623. The reversal of 2101847616 is 6167481012.

It is a happy number.

2101847616 is a `hidden beast` number, since 21 + 0 + 18 + 4 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51264556 + ... + 51264596.

It is an arithmetic number, because the mean of its divisors is an integer number (13277088).

Almost surely, 2^2101847616 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 2101847616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717584640).

2101847616 is an abundant number, since it is smaller than the sum of its proper divisors (5333321664).

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

2101847616 is a wasteful number, since it uses less digits than its factorization.

2101847616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2101847616 is about 45845.9116606923. The cubic root of 2101847616 is about 1280.9546134011.

The spelling of 2101847616 in words is "two billion, one hundred one million, eight hundred forty-seven thousand, six hundred sixteen".