2128224 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 607872.

The previous prime is 2128201. The next prime is 2128241. The reversal of 2128224 is 4228212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2128224³ = 28918333639148470272, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2128224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 912 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

2^2128224 is an apocalyptic number.

2128224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2128224 is an abundant number, since it is smaller than the sum of its proper divisors (4258464).

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

2128224 is a wasteful number, since it uses less digits than its factorization.

2128224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3179 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 2128224 is about 1458.8433774741. The cubic root of 2128224 is about 128.6290648114.

It can be divided in two parts, 21 and 28224, that multiplied together give a cube (592704 = 84³).

The spelling of 2128224 in words is "two million, one hundred twenty-eight thousand, two hundred twenty-four".