2271965696 has 360 divisors, whose sum is σ = 6374092032. Its totient is φ = 790732800.

The previous prime is 2271965651. The next prime is 2271965711. The reversal of 2271965696 is 6965691722.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 73289201 + ... + 73289231.

Almost surely, 2^2271965696 is an apocalyptic number.

2271965696 is a gapful number since it is divisible by the number (26) 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 2271965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187046016).

2271965696 is an abundant number, since it is smaller than the sum of its proper divisors (4102126336).

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

2271965696 is a wasteful number, since it uses less digits than its factorization.

2271965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 53.

The square root of 2271965696 is about 47665.1413089272. The cubic root of 2271965696 is about 1314.6210739130.

The spelling of 2271965696 in words is "two billion, two hundred seventy-one million, nine hundred sixty-five thousand, six hundred ninety-six".