2382904225 has 27 divisors (see below), whose sum is σ = 3203843769. Its totient is φ = 1757340000.

The previous prime is 2382904193. The next prime is 2382904241. The reversal of 2382904225 is 5224092832.

The square root of 2382904225 is 48815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 614197089 + 1768707136 = 24783^2 + 42056^2 .

It is not a de Polignac number, because 2382904225 - 2⁵ = 2382904193 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 3172600 + ... + 3173350.

Almost surely, 2^2382904225 is an apocalyptic number.

2382904225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2382904225 is the 48815-th square number.

2382904225 is the 24408-th centered octagonal number.

It is an amenable number.

2382904225 is a deficient number, since it is larger than the sum of its proper divisors (820939544).

2382904225 is an frugal number, since it uses more digits than its factorization.

2382904225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 2382904225 is about 1335.6793009824.

The spelling of 2382904225 in words is "two billion, three hundred eighty-two million, nine hundred four thousand, two hundred twenty-five".