2279424 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 638976.

The previous prime is 2279423. The next prime is 2279447. The reversal of 2279424 is 4249722.

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

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁵ + 7³ + 9⁵ + 4⁷ + 2²¹ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 2279391 and 2279400.

It is not an unprimeable number, because it can be changed into a prime (2279423) 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, 42982 + ... + 43034.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^2279424 is an apocalyptic number.

2279424 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 2279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2279424 is an abundant number, since it is smaller than the sum of its proper divisors (4796736).

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

2279424 is an equidigital number, since it uses as much as digits as its factorization.

2279424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2279424 is about 1509.7761423469. The cubic root of 2279424 is about 131.6058028440.

The spelling of 2279424 in words is "two million, two hundred seventy-nine thousand, four hundred twenty-four".