2365424 has 40 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 1080000.

The previous prime is 2365423. The next prime is 2365427. The reversal of 2365424 is 4245632.

It is a d-powerful number, because it can be written as 2¹⁷ + 3¹⁰ + 6 + 5⁷ + 4 + 2²¹ + 4² .

It is a junction number, because it is equal to n+sod(n) for n = 2365393 and 2365402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2365421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9299 + ... + 9549.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

2^2365424 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 2365424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

2365424 is an abundant number, since it is smaller than the sum of its proper divisors (2634256).

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

2365424 is a wasteful number, since it uses less digits than its factorization.

2365424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 2365424 is about 1537.9934980357. The cubic root of 2365424 is about 133.2405243025.

The spelling of 2365424 in words is "two million, three hundred sixty-five thousand, four hundred twenty-four".