2429440 has 80 divisors (see below), whose sum is σ = 6358968. Its totient is φ = 884736.

The previous prime is 2429437. The next prime is 2429459. The reversal of 2429440 is 449242.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 831744 = 1264^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 33244 + ... + 33316.

2^2429440 is an apocalyptic number.

2429440 is a gapful number since it is divisible by the number (20) 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 2429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179484).

2429440 is an abundant number, since it is smaller than the sum of its proper divisors (3929528).

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

2429440 is an equidigital number, since it uses as much as digits as its factorization.

2429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2429440 is about 1558.6660963786. Note that the first 3 decimals coincide. The cubic root of 2429440 is about 134.4318140862.

The spelling of 2429440 in words is "two million, four hundred twenty-nine thousand, four hundred forty".