2327424 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 645120.

The previous prime is 2327417. The next prime is 2327441. The reversal of 2327424 is 4247232.

2327424 = T₃₂ + T₃₃ + ... + T₂₄₀.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2688) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2327394 and 2327403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80242 + ... + 80270.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

2^2327424 is an apocalyptic number.

2327424 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 2327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2327424 is an abundant number, since it is smaller than the sum of its proper divisors (5016576).

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

2327424 is a wasteful number, since it uses less digits than its factorization.

2327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 2327424 is about 1525.5897220419. The cubic root of 2327424 is about 132.5231761999.

The spelling of 2327424 in words is "two million, three hundred twenty-seven thousand, four hundred twenty-four".