1965652224 has 72 divisors (see below), whose sum is σ = 5238444960. Its totient is φ = 654348288.

The previous prime is 1965652177. The next prime is 1965652229. The reversal of 1965652224 is 4222565691.

It is a super-2 number, since 2×1965652224² = 7727577331432292352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1965652229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865939 + ... + 868205.

It is an arithmetic number, because the mean of its divisors is an integer number (72756180).

Almost surely, 2^1965652224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619222480).

1965652224 is an abundant number, since it is smaller than the sum of its proper divisors (3272792736).

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

1965652224 is a wasteful number, since it uses less digits than its factorization.

1965652224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1965652224 is about 44335.6766498494. The cubic root of 1965652224 is about 1252.6667810305. Note that the first 3 decimals are identical.

The spelling of 1965652224 in words is "one billion, nine hundred sixty-five million, six hundred fifty-two thousand, two hundred twenty-four".