2123264 has 80 divisors (see below), whose sum is σ = 5155920. Its totient is φ = 860160.

The previous prime is 2123263. The next prime is 2123279. The reversal of 2123264 is 4623212.

2123264 = T₁₇₆ + T₁₇₇ + ... + T₂₆₂.

It is a d-powerful number, because it can be written as 2³ + 1 + 2⁹ + 3¹³ + 2¹⁹ + 6² + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73202 + ... + 73230.

It is an arithmetic number, because the mean of its divisors is an integer number (64449).

2^2123264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577960).

2123264 is an abundant number, since it is smaller than the sum of its proper divisors (3032656).

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

2123264 is a wasteful number, since it uses less digits than its factorization.

2123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 2123264 is about 1457.1424089635. The cubic root of 2123264 is about 128.5290602315.

Adding to 2123264 its reverse (4623212), we get a palindrome (6746476).

The spelling of 2123264 in words is "two million, one hundred twenty-three thousand, two hundred sixty-four".