2200101984 has 144 divisors (see below), whose sum is σ = 6688622304. Its totient is φ = 684288000.

The previous prime is 2200101947. The next prime is 2200101989. The reversal of 2200101984 is 4891010022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200101989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 267534 + ... + 275634.

It is an arithmetic number, because the mean of its divisors is an integer number (46448766).

Almost surely, 2^2200101984 is an apocalyptic number.

2200101984 is a gapful number since it is divisible by the number (24) 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 2200101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344311152).

2200101984 is an abundant number, since it is smaller than the sum of its proper divisors (4488520320).

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

2200101984 is a wasteful number, since it uses less digits than its factorization.

2200101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2200101984 is about 46905.2447387283. The cubic root of 2200101984 is about 1300.6115434375.

The spelling of 2200101984 in words is "two billion, two hundred million, one hundred one thousand, nine hundred eighty-four".