2471704467456 has 768 divisors, whose sum is σ = 8059148697600. Its totient is φ = 658774425600.

The previous prime is 2471704467443. The next prime is 2471704467493. The reversal of 2471704467456 is 6547644071742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2471704467456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2471704467396 and 2471704467405.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5630306085 + ... + 5630306523.

It is an arithmetic number, because the mean of its divisors is an integer number (10493683200).

Almost surely, 2^{2471704467456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2471704467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029574348800).

2471704467456 is an abundant number, since it is smaller than the sum of its proper divisors (5587444230144).

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

2471704467456 is a wasteful number, since it uses less digits than its factorization.

2471704467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 2471704467456 in words is "two trillion, four hundred seventy-one billion, seven hundred four million, four hundred sixty-seven thousand, four hundred fifty-six".