2101985984 has 112 divisors (see below), whose sum is σ = 4930859328. Its totient is φ = 870248448.

The previous prime is 2101985983. The next prime is 2101986001. The reversal of 2101985984 is 4895891012.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2101985981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2867282 + ... + 2868014.

Almost surely, 2^2101985984 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 2101985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465429664).

2101985984 is an abundant number, since it is smaller than the sum of its proper divisors (2828873344).

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

2101985984 is a wasteful number, since it uses less digits than its factorization.

2101985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The square root of 2101985984 is about 45847.4206908088. The cubic root of 2101985984 is about 1280.9827218832.

The spelling of 2101985984 in words is "two billion, one hundred one million, nine hundred eighty-five thousand, nine hundred eighty-four".