2417955345 has 48 divisors (see below), whose sum is σ = 4536644112. Its totient is φ = 1184279040.

The previous prime is 2417955343. The next prime is 2417955349. The reversal of 2417955345 is 5435597142.

2417955345 is a `hidden beast` number, since 2 + 41 + 79 + 5 + 534 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8225424 + 2409729921 = 2868^2 + 49089^2 .

It is not a de Polignac number, because 2417955345 - 2¹ = 2417955343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2417955345.

It is not an unprimeable number, because it can be changed into a prime (2417955341) 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 47 ways as a sum of consecutive naturals, for example, 104755 + ... + 125735.

It is an arithmetic number, because the mean of its divisors is an integer number (94513419).

Almost surely, 2^2417955345 is an apocalyptic number.

It is an amenable number.

2417955345 is a deficient number, since it is larger than the sum of its proper divisors (2118688767).

2417955345 is a wasteful number, since it uses less digits than its factorization.

2417955345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21202 (or 21199 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 2417955345 is about 49172.7093518346. The cubic root of 2417955345 is about 1342.1964691481.

It can be divided in two parts, 24179 and 55345, that added together give a square (79524 = 282²).

The spelling of 2417955345 in words is "two billion, four hundred seventeen million, nine hundred fifty-five thousand, three hundred forty-five".