2111664 has 80 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 645120.

The previous prime is 2111633. The next prime is 2111677. The reversal of 2111664 is 4661112.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2111664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51484 + ... + 51524.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

2^2111664 is an apocalyptic number.

2111664 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 2111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2111664 is an abundant number, since it is smaller than the sum of its proper divisors (3825456).

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

2111664 is a wasteful number, since it uses less digits than its factorization.

2111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2111664 is about 1453.1565641733. The cubic root of 2111664 is about 128.2945689783.

Adding to 2111664 its reverse (4661112), we get a palindrome (6772776).

It can be divided in two parts, 2111 and 664, that added together give a triangular number (2775 = T₇₄).

The spelling of 2111664 in words is "two million, one hundred eleven thousand, six hundred sixty-four".