2003352000 has 224 divisors, whose sum is σ = 7125029184. Its totient is φ = 493056000.

The previous prime is 2003351981. The next prime is 2003352031. The reversal of 2003352000 is 2533002.

2003352000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 308790 + ... + 315210.

It is an arithmetic number, because the mean of its divisors is an integer number (31808166).

Almost surely, 2^2003352000 is an apocalyptic number.

2003352000 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 2003352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562514592).

2003352000 is an abundant number, since it is smaller than the sum of its proper divisors (5121677184).

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

2003352000 is a wasteful number, since it uses less digits than its factorization.

2003352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2003352000 is about 44758.8203597905. The cubic root of 2003352000 is about 1260.6245329218.

Adding to 2003352000 its reverse (2533002), we get a palindrome (2005885002).

The spelling of 2003352000 in words is "two billion, three million, three hundred fifty-two thousand".