2417249537948 has 96 divisors (see below), whose sum is σ = 5140520985600. Its totient is φ = 971501216256.

The previous prime is 2417249537933. The next prime is 2417249537953. The reversal of 2417249537948 is 8497359427142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152818136 + ... + 152833952.

It is an arithmetic number, because the mean of its divisors is an integer number (53547093600).

Almost surely, 2^{2417249537948} is an apocalyptic number.

2417249537948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2417249537948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570260492800).

2417249537948 is an abundant number, since it is smaller than the sum of its proper divisors (2723271447652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2417249537948 is a wasteful number, since it uses less digits than its factorization.

2417249537948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18739 (or 18737 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 65.

The spelling of 2417249537948 in words is "two trillion, four hundred seventeen billion, two hundred forty-nine million, five hundred thirty-seven thousand, nine hundred forty-eight".