2164608325 has 72 divisors (see below), whose sum is σ = 3125299968. Its totient is φ = 1483680000.

The previous prime is 2164608323. The next prime is 2164608349. The reversal of 2164608325 is 5238064612.

It is not a de Polignac number, because 2164608325 - 2¹ = 2164608323 is a prime.

It is a super-3 number, since 3×2164608325³ (a number of 29 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164608323) 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 71 ways as a sum of consecutive naturals, for example, 3844494 + ... + 3845056.

It is an arithmetic number, because the mean of its divisors is an integer number (43406944).

Almost surely, 2^2164608325 is an apocalyptic number.

2164608325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2164608325 is a deficient number, since it is larger than the sum of its proper divisors (960691643).

2164608325 is a wasteful number, since it uses less digits than its factorization.

2164608325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

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

The square root of 2164608325 is about 46525.3514226384. The cubic root of 2164608325 is about 1293.5794513295.

It can be divided in two parts, 216460 and 8325, that added together give a triangular number (224785 = T₆₇₀).

The spelling of 2164608325 in words is "two billion, one hundred sixty-four million, six hundred eight thousand, three hundred twenty-five".