2231728961 has 48 divisors (see below), whose sum is σ = 3007465920. Its totient is φ = 1646568000.

The previous prime is 2231728957. The next prime is 2231728991. The reversal of 2231728961 is 1698271322.

It is not a de Polignac number, because 2231728961 - 2² = 2231728957 is a prime.

It is a super-3 number, since 3×2231728961³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2231728921) 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 47 ways as a sum of consecutive naturals, for example, 1238261 + ... + 1240061.

It is an arithmetic number, because the mean of its divisors is an integer number (62655540).

Almost surely, 2^2231728961 is an apocalyptic number.

It is an amenable number.

2231728961 is a deficient number, since it is larger than the sum of its proper divisors (775736959).

2231728961 is a wasteful number, since it uses less digits than its factorization.

2231728961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1838 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 2231728961 is about 47241.1786580310. The cubic root of 2231728961 is about 1306.8141142425.

The spelling of 2231728961 in words is "two billion, two hundred thirty-one million, seven hundred twenty-eight thousand, nine hundred sixty-one".