2003332672 has 56 divisors (see below), whose sum is σ = 4345850592. Its totient is φ = 908697600.

The previous prime is 2003332631. The next prime is 2003332687. The reversal of 2003332672 is 2762333002.

It is a super-4 number, since 4×2003332672⁴ (a number of 38 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2003332672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365472 + ... + 370912.

Almost surely, 2^2003332672 is an apocalyptic number.

2003332672 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 2003332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172925296).

2003332672 is an abundant number, since it is smaller than the sum of its proper divisors (2342517920).

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

2003332672 is a wasteful number, since it uses less digits than its factorization.

2003332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 2003332672 is about 44758.6044465196. The cubic root of 2003332672 is about 1260.6204788116.

Adding to 2003332672 its reverse (2762333002), we get a palindrome (4765665674).

The spelling of 2003332672 in words is "two billion, three million, three hundred thirty-two thousand, six hundred seventy-two".