205102445240 has 256 divisors, whose sum is σ = 613601049600. Its totient is φ = 59732582400.

The previous prime is 205102445213. The next prime is 205102445243. The reversal of 205102445240 is 42544201502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205102445243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7263950 + ... + 7292130.

It is an arithmetic number, because the mean of its divisors is an integer number (2396879100).

Almost surely, 2^205102445240 is an apocalyptic number.

205102445240 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 205102445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306800524800).

205102445240 is an abundant number, since it is smaller than the sum of its proper divisors (408498604360).

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

205102445240 is a wasteful number, since it uses less digits than its factorization.

205102445240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28366 (or 28362 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 205102445240 its reverse (42544201502), we get a palindrome (247646646742).

The spelling of 205102445240 in words is "two hundred five billion, one hundred two million, four hundred forty-five thousand, two hundred forty".