2003050672000 has 256 divisors, whose sum is σ = 5716027025280. Its totient is φ = 683803852800.

The previous prime is 2003050671953. The next prime is 2003050672031. The reversal of 2003050672000 is 2760503002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26057622 + ... + 26134378.

Almost surely, 2^{2003050672000} is an apocalyptic number.

2003050672000 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 2003050672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858013512640).

2003050672000 is an abundant number, since it is smaller than the sum of its proper divisors (3712976353280).

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

2003050672000 is an equidigital number, since it uses as much as digits as its factorization.

2003050672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77026 (or 77004 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The spelling of 2003050672000 in words is "two trillion, three billion, fifty million, six hundred seventy-two thousand".