205245040 has 240 divisors, whose sum is σ = 648333504. Its totient is φ = 58798080.

The previous prime is 205245023. The next prime is 205245059. The reversal of 205245040 is 40542502.

205245040 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 (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880764 + ... + 880996.

Almost surely, 2^205245040 is an apocalyptic number.

205245040 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 205245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

205245040 is an abundant number, since it is smaller than the sum of its proper divisors (443088464).

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

205245040 is a wasteful number, since it uses less digits than its factorization.

205245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 205245040 is about 14326.3756756550. The cubic root of 205245040 is about 589.8716947850.

Adding to 205245040 its reverse (40542502), we get a palindrome (245787542).

The spelling of 205245040 in words is "two hundred five million, two hundred forty-five thousand, forty".