2417913041296 has 45 divisors (see below), whose sum is σ = 4718166933571. Its totient is φ = 1200382449152.

The previous prime is 2417913041293. The next prime is 2417913041303. The reversal of 2417913041296 is 6921403197142.

The square root of 2417913041296 is 1554964.

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 467533207696 + 1950379833600 = 683764^2 + 1396560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2417913041293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 926757240 + ... + 926759848.

Almost surely, 2^{2417913041296} is an apocalyptic number.

2417913041296 is the 1554964-th square number.

It is an amenable number.

2417913041296 is a deficient number, since it is larger than the sum of its proper divisors (2300253892275).

2417913041296 is an frugal number, since it uses more digits than its factorization.

2417913041296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 2417913041296 by its sum of digits (49), we get a square (118477739023504 = 10884748²).

The spelling of 2417913041296 in words is "two trillion, four hundred seventeen billion, nine hundred thirteen million, forty-one thousand, two hundred ninety-six".