2003689968 has 120 divisors (see below), whose sum is σ = 6041019600. Its totient is φ = 570608640.

The previous prime is 2003689949. The next prime is 2003689981. The reversal of 2003689968 is 8699863002.

It is a self number, because there is not a number n which added to its sum of digits gives 2003689968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819628 + ... + 822068.

It is an arithmetic number, because the mean of its divisors is an integer number (50341830).

Almost surely, 2^2003689968 is an apocalyptic number.

2003689968 is a gapful number since it is divisible by the number (28) 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 2003689968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020509800).

2003689968 is an abundant number, since it is smaller than the sum of its proper divisors (4037329632).

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

2003689968 is a wasteful number, since it uses less digits than its factorization.

2003689968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2003689968 is about 44762.5956351952. The cubic root of 2003689968 is about 1260.6954185834.

The spelling of 2003689968 in words is "two billion, three million, six hundred eighty-nine thousand, nine hundred sixty-eight".