205246043060240 has 640 divisors, whose sum is σ = 624357718548480. Its totient is φ = 60929003520000.

The previous prime is 205246043060147. The next prime is 205246043060249. The reversal of 205246043060240 is 42060340642502.

205246043060240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 205246043060194 and 205246043060203.

It is not an unprimeable number, because it can be changed into a prime (205246043060249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41455469765 + ... + 41455474715.

It is an arithmetic number, because the mean of its divisors is an integer number (975558935232).

Almost surely, 2^{205246043060240} is an apocalyptic number.

205246043060240 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 205246043060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312178859274240).

205246043060240 is an abundant number, since it is smaller than the sum of its proper divisors (419111675488240).

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

205246043060240 is a wasteful number, since it uses less digits than its factorization.

205246043060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 205246043060240 in words is "two hundred five trillion, two hundred forty-six billion, forty-three million, sixty thousand, two hundred forty".