2004205012993 has 8 divisors (see below), whose sum is σ = 2214364618368. Its totient is φ = 1804297095744.

The previous prime is 2004205012921. The next prime is 2004205013017. The reversal of 2004205012993 is 3992105024002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2004205012993 - 2²⁵ = 2004171458561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004205012093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2562921621 + ... + 2562922402.

It is an arithmetic number, because the mean of its divisors is an integer number (276795577296).

Almost surely, 2^{2004205012993} is an apocalyptic number.

2004205012993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2004205012993 is a deficient number, since it is larger than the sum of its proper divisors (210159605375).

2004205012993 is a wasteful number, since it uses less digits than its factorization.

2004205012993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125844063.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 2004205012993 in words is "two trillion, four billion, two hundred five million, twelve thousand, nine hundred ninety-three".