2005705105120 has 48 divisors (see below), whose sum is σ = 4738984312608. Its totient is φ = 802196369920.

The previous prime is 2005705105093. The next prime is 2005705105121. The reversal of 2005705105120 is 215015075002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005705105121) 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, 844362 + ... + 2173558.

It is an arithmetic number, because the mean of its divisors is an integer number (98728839846).

Almost surely, 2^{2005705105120} is an apocalyptic number.

2005705105120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005705105120 is an abundant number, since it is smaller than the sum of its proper divisors (2733279207488).

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

2005705105120 is a wasteful number, since it uses less digits than its factorization.

2005705105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338643 (or 1338635 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The spelling of 2005705105120 in words is "two trillion, five billion, seven hundred five million, one hundred five thousand, one hundred twenty".