2471180856001 has 27 divisors (see below), whose sum is σ = 2941539569577. Its totient is φ = 2073529560960.

The previous prime is 2471180855981. The next prime is 2471180856037. The reversal of 2471180856001 is 1006580811742.

The square root of 2471180856001 is 1571999.

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 1159926846001 + 1311254010000 = 1076999^2 + 1145100^2 .

It is not a de Polignac number, because 2471180856001 - 2⁷ = 2471180855873 is a prime.

It is a super-2 number, since 2×2471180856001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2471180856701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224790361 + ... + 224801353.

Almost surely, 2^{2471180856001} is an apocalyptic number.

2471180856001 is the 1571999-th square number.

2471180856001 is the 786000-th centered octagonal number.

It is an amenable number.

2471180856001 is a deficient number, since it is larger than the sum of its proper divisors (470358713576).

2471180856001 is an frugal number, since it uses more digits than its factorization.

2471180856001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22034 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 2471180856001 in words is "two trillion, four hundred seventy-one billion, one hundred eighty million, eight hundred fifty-six thousand, one".