2967424 has 32 divisors (see below), whose sum is σ = 5997600. Its totient is φ = 1462272.

The previous prime is 2967421. The next prime is 2967427. The reversal of 2967424 is 4247692.

It is an interprime number because it is at equal distance from previous prime (2967421) and next prime (2967427).

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁵ + 9 + 6⁶ + 7⁷ + 4² + 2²¹ + 4² .

It is a self number, because there is not a number n which added to its sum of digits gives 2967424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12297 + ... + 12535.

It is an arithmetic number, because the mean of its divisors is an integer number (187425).

2^2967424 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 2967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998800).

2967424 is an abundant number, since it is smaller than the sum of its proper divisors (3030176).

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

2967424 is an equidigital number, since it uses as much as digits as its factorization.

2967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 2967424 is about 1722.6212584315. The cubic root of 2967424 is about 143.7010257869.

The spelling of 2967424 in words is "two million, nine hundred sixty-seven thousand, four hundred twenty-four".