2003424192 has 504 divisors, whose sum is σ = 7588788480. Its totient is φ = 518192640.

The previous prime is 2003424169. The next prime is 2003424193. The reversal of 2003424192 is 2914243002.

2003424192 is a `hidden beast` number, since 200 + 3 + 42 + 419 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003424193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8382409 + ... + 8382647.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^2003424192 is an apocalyptic number.

2003424192 is a gapful number since it is divisible by the number (22) 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 2003424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794394240).

2003424192 is an abundant number, since it is smaller than the sum of its proper divisors (5585364288).

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

2003424192 is a wasteful number, since it uses less digits than its factorization.

2003424192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2003424192 is about 44759.6268080957. The cubic root of 2003424192 is about 1260.6396751956.

Adding to 2003424192 its reverse (2914243002), we get a palindrome (4917667194).

The spelling of 2003424192 in words is "two billion, three million, four hundred twenty-four thousand, one hundred ninety-two".