2417116667904 has 224 divisors, whose sum is σ = 7171822080000. Its totient is φ = 804532027392.

The previous prime is 2417116667899. The next prime is 2417116667941. The reversal of 2417116667904 is 4097666117142.

It is a happy number.

It is a super-4 number, since 4×2417116667904⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159023697 + ... + 159038895.

Almost surely, 2^{2417116667904} is an apocalyptic number.

2417116667904 is a gapful number since it is divisible by the number (24) 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 2417116667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585911040000).

2417116667904 is an abundant number, since it is smaller than the sum of its proper divisors (4754705412096).

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

2417116667904 is an equidigital number, since it uses as much as digits as its factorization.

2417116667904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15953 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2417116667904 in words is "two trillion, four hundred seventeen billion, one hundred sixteen million, six hundred sixty-seven thousand, nine hundred four".