205042420020540 has 96 divisors (see below), whose sum is σ = 607518215248896. Its totient is φ = 51564045998080.

The previous prime is 205042420020533. The next prime is 205042420020569. The reversal of 205042420020540 is 45020024240502.

It is a super-2 number, since 2×205042420020540² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 205042420020498 and 205042420020507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046250357 + ... + 1046446316.

It is an arithmetic number, because the mean of its divisors is an integer number (6328314742176).

Almost surely, 2^{205042420020540} is an apocalyptic number.

205042420020540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205042420020540 is an abundant number, since it is smaller than the sum of its proper divisors (402475795228356).

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

205042420020540 is a wasteful number, since it uses less digits than its factorization.

205042420020540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092696779 (or 2092696777 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 205042420020540 in words is "two hundred five trillion, forty-two billion, four hundred twenty million, twenty thousand, five hundred forty".