1965205242 has 192 divisors, whose sum is σ = 5915669760. Its totient is φ = 454809600.

The previous prime is 1965205199. The next prime is 1965205273. The reversal of 1965205242 is 2425025691.

1965205242 is a `hidden beast` number, since 1 + 96 + 520 + 5 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1965205197 and 1965205206.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 520642 + ... + 524402.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2^1965205242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965205242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

1965205242 is an abundant number, since it is smaller than the sum of its proper divisors (3950464518).

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

1965205242 is a wasteful number, since it uses less digits than its factorization.

1965205242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1965205242 is about 44330.6354793161. The cubic root of 1965205242 is about 1252.5718232445.

The spelling of 1965205242 in words is "one billion, nine hundred sixty-five million, two hundred five thousand, two hundred forty-two".