2382123249 has 135 divisors (see below), whose sum is σ = 4303219921. Its totient is φ = 1311932160.

The previous prime is 2382123209. The next prime is 2382123259. The reversal of 2382123249 is 9423212832.

The square root of 2382123249 is 48807.

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

2382123249 is a `hidden beast` number, since 2 + 382 + 1 + 232 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235469025 + 2146654224 = 15345^2 + 46332^2 .

It is not a de Polignac number, because 2382123249 - 2⁹ = 2382122737 is a prime.

It is a super-2 number, since 2×2382123249² = 11349022346852632002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2382123209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 82142167 + ... + 82142195.

Almost surely, 2^2382123249 is an apocalyptic number.

2382123249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2382123249 is the 48807-th square number.

2382123249 is the 24404-th centered octagonal number.

It is an amenable number.

2382123249 is a deficient number, since it is larger than the sum of its proper divisors (1921096672).

2382123249 is a wasteful number, since it uses less digits than its factorization.

2382123249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 2382123249 is about 1335.5333659721.

Multiplying 2382123249 by its sum of digits (36), we get a square (85756436964 = 292842²).

The spelling of 2382123249 in words is "two billion, three hundred eighty-two million, one hundred twenty-three thousand, two hundred forty-nine".