2005506243120 has 80 divisors (see below), whose sum is σ = 6217249927680. Its totient is φ = 534786131712.

The previous prime is 2005506243077. The next prime is 2005506243121. The reversal of 2005506243120 is 213426055002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2005506243121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9868777 + ... + 10069943.

It is an arithmetic number, because the mean of its divisors is an integer number (77715624096).

Almost surely, 2^{2005506243120} is an apocalyptic number.

2005506243120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005506243120 is an abundant number, since it is smaller than the sum of its proper divisors (4211743684560).

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

2005506243120 is a wasteful number, since it uses less digits than its factorization.

2005506243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242722 (or 242716 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2005506243120 in words is "two trillion, five billion, five hundred six million, two hundred forty-three thousand, one hundred twenty".