2178182241 has 27 divisors (see below), whose sum is σ = 3224370513. Its totient is φ = 1416931560.

The previous prime is 2178182221. The next prime is 2178182263. The reversal of 2178182241 is 1422818712.

It is a happy number.

The square root of 2178182241 is 46671.

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

It is not a de Polignac number, because 2178182241 - 2²¹ = 2176085089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2178182196 and 2178182205.

It is not an unprimeable number, because it can be changed into a prime (2178182221) 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 26 ways as a sum of consecutive naturals, for example, 6580446 + ... + 6580776.

Almost surely, 2^2178182241 is an apocalyptic number.

2178182241 is the 46671-st square number.

2178182241 is the 23336-th centered octagonal number.

It is an amenable number.

2178182241 is a deficient number, since it is larger than the sum of its proper divisors (1046188272).

2178182241 is an frugal number, since it uses more digits than its factorization.

2178182241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The cubic root of 2178182241 is about 1296.2777628955.

Multiplying 2178182241 by its sum of digits (36), we get a square (78414560676 = 280026²).

The spelling of 2178182241 in words is "two billion, one hundred seventy-eight million, one hundred eighty-two thousand, two hundred forty-one".