2101946112 has 252 divisors, whose sum is σ = 7193776240. Its totient is φ = 600182784.

The previous prime is 2101946111. The next prime is 2101946131. The reversal of 2101946112 is 2116491012.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101946111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1305564 + ... + 1307172.

Almost surely, 2^2101946112 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 2101946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596888120).

2101946112 is an abundant number, since it is smaller than the sum of its proper divisors (5091830128).

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

2101946112 is an frugal number, since it uses more digits than its factorization.

2101946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2101946112 is about 45846.9858551247. The cubic root of 2101946112 is about 1280.9746222945.

The spelling of 2101946112 in words is "two billion, one hundred one million, nine hundred forty-six thousand, one hundred twelve".