2003442400 has 72 divisors (see below), whose sum is σ = 4983290424. Its totient is φ = 786240000.

The previous prime is 2003442383. The next prime is 2003442437. The reversal of 2003442400 is 42443002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18775 + ... + 66025.

It is an arithmetic number, because the mean of its divisors is an integer number (69212367).

Almost surely, 2^2003442400 is an apocalyptic number.

2003442400 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 2003442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491645212).

2003442400 is an abundant number, since it is smaller than the sum of its proper divisors (2979848024).

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

2003442400 is a wasteful number, since it uses less digits than its factorization.

2003442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47324 (or 47311 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2003442400 is about 44759.8302052186. The cubic root of 2003442400 is about 1260.6434942666.

Adding to 2003442400 its reverse (42443002), we get a palindrome (2045885402).

The spelling of 2003442400 in words is "two billion, three million, four hundred forty-two thousand, four hundred".