2175264 has 144 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 566784.

The previous prime is 2175263. The next prime is 2175293. The reversal of 2175264 is 4625712.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2175263) 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, 26167 + ... + 26249.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

2^2175264 is an apocalyptic number.

2175264 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 2175264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2175264 is an abundant number, since it is smaller than the sum of its proper divisors (5529888).

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

2175264 is a wasteful number, since it uses less digits than its factorization.

2175264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2175264 is about 1474.8776220419. The cubic root of 2175264 is about 129.5698603896.

The spelling of 2175264 in words is "two million, one hundred seventy-five thousand, two hundred sixty-four".