2419164225 has 45 divisors (see below), whose sum is σ = 4485231993. Its totient is φ = 1289040480.

The previous prime is 2419164217. The next prime is 2419164239. The reversal of 2419164225 is 5224619142.

It is a happy number.

The square root of 2419164225 is 49185.

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

2419164225 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 1 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 602358849 + 1816805376 = 24543^2 + 42624^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2419164225 - 2³ = 2419164217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2419164225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2212779 + ... + 2213871.

Almost surely, 2^2419164225 is an apocalyptic number.

2419164225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2419164225 is the 49185-th square number.

2419164225 is the 24593-rd centered octagonal number.

It is an amenable number.

2419164225 is a deficient number, since it is larger than the sum of its proper divisors (2066067768).

2419164225 is an frugal number, since it uses more digits than its factorization.

2419164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 1101 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 2419164225 is about 1342.4201132202.

Multiplying 2419164225 by its sum of digits (36), we get a square (87089912100 = 295110²).

The spelling of 2419164225 in words is "two billion, four hundred nineteen million, one hundred sixty-four thousand, two hundred twenty-five".