2003125791744 has 2112 divisors, whose sum is σ = 8051948716032. Its totient is φ = 464220979200.

The previous prime is 2003125791703. The next prime is 2003125791749. The reversal of 2003125791744 is 4471975213002.

2003125791744 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 1 + 2 + 579 + 1 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 2003125791744.

It is not an unprimeable number, because it can be changed into a prime (2003125791749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18720801739 + ... + 18720801845.

Almost surely, 2^{2003125791744} is an apocalyptic number.

2003125791744 is a gapful number since it is divisible by the number (24) 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 2003125791744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025974358016).

2003125791744 is an abundant number, since it is smaller than the sum of its proper divisors (6048822924288).

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

2003125791744 is a wasteful number, since it uses less digits than its factorization.

2003125791744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2003125791744 in words is "two trillion, three billion, one hundred twenty-five million, seven hundred ninety-one thousand, seven hundred forty-four".