205214436740 has 48 divisors (see below), whose sum is σ = 445302165504. Its totient is φ = 79357449600.

The previous prime is 205214436737. The next prime is 205214436761. The reversal of 205214436740 is 47634412502.

It is a happy number.

It is a super-2 number, since 2×205214436740² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205214436694 and 205214436703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447422 + ... + 781418.

It is an arithmetic number, because the mean of its divisors is an integer number (9277128448).

Almost surely, 2^205214436740 is an apocalyptic number.

205214436740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205214436740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222651082752).

205214436740 is an abundant number, since it is smaller than the sum of its proper divisors (240087728764).

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

205214436740 is a wasteful number, since it uses less digits than its factorization.

205214436740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335028 (or 335026 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 205214436740 in words is "two hundred five billion, two hundred fourteen million, four hundred thirty-six thousand, seven hundred forty".