2211884640 has 144 divisors (see below), whose sum is σ = 8626389408. Its totient is φ = 505571328.

The previous prime is 2211884599. The next prime is 2211884641. The reversal of 2211884640 is 464881122.

2211884640 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 8 + 8 + 4 + 640 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2211884595 and 2211884604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211884641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99637 + ... + 119796.

It is an arithmetic number, because the mean of its divisors is an integer number (59905482).

Almost surely, 2^2211884640 is an apocalyptic number.

2211884640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211884640 is an abundant number, since it is smaller than the sum of its proper divisors (6414504768).

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

2211884640 is a wasteful number, since it uses less digits than its factorization.

2211884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219461 (or 219450 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2211884640 is about 47030.6776476801. The cubic root of 2211884640 is about 1302.9292212135.

The spelling of 2211884640 in words is "two billion, two hundred eleven million, eight hundred eighty-four thousand, six hundred forty".