2672405217 has 20 divisors (see below), whose sum is σ = 4015208340. Its totient is φ = 1771295904.

The previous prime is 2672405201. The next prime is 2672405227. The reversal of 2672405217 is 7125042762.

It is a happy number.

2672405217 is a `hidden beast` number, since 26 + 72 + 40 + 521 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1047428496 + 1624976721 = 32364^2 + 40311^2 .

It is not a de Polignac number, because 2672405217 - 2⁴ = 2672405201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2672405227) 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 19 ways as a sum of consecutive naturals, for example, 81342 + ... + 109367.

It is an arithmetic number, because the mean of its divisors is an integer number (200760417).

Almost surely, 2^2672405217 is an apocalyptic number.

2672405217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2672405217 is a deficient number, since it is larger than the sum of its proper divisors (1342803123).

2672405217 is a wasteful number, since it uses less digits than its factorization.

2672405217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190894 (or 190885 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2672405217 is about 51695.3113637978. The cubic root of 2672405217 is about 1387.7165581632.

Adding to 2672405217 its reverse (7125042762), we get a palindrome (9797447979).

The spelling of 2672405217 in words is "two billion, six hundred seventy-two million, four hundred five thousand, two hundred seventeen".