205370217740 has 24 divisors (see below), whose sum is σ = 431363940000. Its totient is φ = 82131614208.

The previous prime is 205370217733. The next prime is 205370217749. The reversal of 205370217740 is 47712073502.

It is a junction number, because it is equal to n+sod(n) for n = 205370217694 and 205370217703.

It is not an unprimeable number, because it can be changed into a prime (205370217749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927077 + ... + 1127036.

It is an arithmetic number, because the mean of its divisors is an integer number (17973497500).

Almost surely, 2^205370217740 is an apocalyptic number.

205370217740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205370217740 is an abundant number, since it is smaller than the sum of its proper divisors (225993722260).

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

205370217740 is a wasteful number, since it uses less digits than its factorization.

205370217740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059121 (or 2059119 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The spelling of 205370217740 in words is "two hundred five billion, three hundred seventy million, two hundred seventeen thousand, seven hundred forty".