2291632641 has 33 divisors (see below), whose sum is σ = 3454967011. Its totient is φ = 1519999992.

The previous prime is 2291632633. The next prime is 2291632687. The reversal of 2291632641 is 1462361922.

It is a happy number.

The square root of 2291632641 is 47871.

It is a perfect power (a square), and thus also a powerful number.

2291632641 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 6 + 3 + 2 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2245338225 + 46294416 = 47385^2 + 6804^2 .

It is not a de Polignac number, because 2291632641 - 2³ = 2291632633 is a prime.

It is a super-2 number, since 2×2291632641² = 10503160322593269762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2291632596 and 2291632605.

It is not an unprimeable number, because it can be changed into a prime (2291632601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 11632555 + ... + 11632751.

Almost surely, 2^2291632641 is an apocalyptic number.

2291632641 is the 47871-st square number.

2291632641 is the 23936-th centered octagonal number.

It is an amenable number.

2291632641 is a deficient number, since it is larger than the sum of its proper divisors (1163334370).

2291632641 is an frugal number, since it uses more digits than its factorization.

2291632641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 200 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 2291632641 is about 1318.4034571532.

Multiplying 2291632641 by its sum of digits (36), we get a square (82498775076 = 287226²).

The spelling of 2291632641 in words is "two billion, two hundred ninety-one million, six hundred thirty-two thousand, six hundred forty-one".