2211009984 has 84 divisors (see below), whose sum is σ = 6424397616. Its totient is φ = 726893568.

The previous prime is 2211009943. The next prime is 2211010007. The reversal of 2211009984 is 4899001122.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15757 + ... + 68339.

It is an arithmetic number, because the mean of its divisors is an integer number (76480924).

Almost surely, 2^2211009984 is an apocalyptic number.

2211009984 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 2211009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212198808).

2211009984 is an abundant number, since it is smaller than the sum of its proper divisors (4213387632).

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

2211009984 is a wasteful number, since it uses less digits than its factorization.

2211009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52674 (or 52661 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2211009984 is about 47021.3779466319. The cubic root of 2211009984 is about 1302.7574574172.

The spelling of 2211009984 in words is "two billion, two hundred eleven million, nine thousand, nine hundred eighty-four".