2281824 has 96 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 715392.

The previous prime is 2281823. The next prime is 2281831. The reversal of 2281824 is 4281822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16347 + ... + 16485.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

2^2281824 is an apocalyptic number.

2281824 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 2281824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2281824 is an abundant number, since it is smaller than the sum of its proper divisors (4774176).

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

2281824 is a wasteful number, since it uses less digits than its factorization.

2281824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2281824 is about 1510.5707530599. The cubic root of 2281824 is about 131.6519757862.

The spelling of 2281824 in words is "two million, two hundred eighty-one thousand, eight hundred twenty-four".