2003342000 has 160 divisors (see below), whose sum is σ = 5415778368. Its totient is φ = 710400000.

The previous prime is 2003341987. The next prime is 2003342017. The reversal of 2003342000 is 2433002.

It is a super-3 number, since 3×2003342000³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900890 + ... + 903110.

Almost surely, 2^2003342000 is an apocalyptic number.

2003342000 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 2003342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707889184).

2003342000 is an abundant number, since it is smaller than the sum of its proper divisors (3412436368).

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

2003342000 is a wasteful number, since it uses less digits than its factorization.

2003342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2003342000 is about 44758.7086498259. The cubic root of 2003342000 is about 1260.6224353929.

Adding to 2003342000 its reverse (2433002), we get a palindrome (2005775002).

The spelling of 2003342000 in words is "two billion, three million, three hundred forty-two thousand".