2011000221984 has 96 divisors (see below), whose sum is σ = 5716352101824. Its totient is φ = 615350615040.

The previous prime is 2011000221977. The next prime is 2011000222009. The reversal of 2011000221984 is 4891220001102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4225434 + ... + 4677209.

It is an arithmetic number, because the mean of its divisors is an integer number (59545334394).

Almost surely, 2^{2011000221984} is an apocalyptic number.

2011000221984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011000221984 is an abundant number, since it is smaller than the sum of its proper divisors (3705351879840).

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

2011000221984 is a wasteful number, since it uses less digits than its factorization.

2011000221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902850 (or 8902842 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 2011000221984 in words is "two trillion, eleven billion, two hundred twenty-one thousand, nine hundred eighty-four".