2471243736361 has 9 divisors (see below), whose sum is σ = 2539899033399. Its totient is φ = 2404396772424.

The previous prime is 2471243736359. The next prime is 2471243736391. The reversal of 2471243736361 is 1636373421742.

It is a happy number.

The square root of 2471243736361 is 1572019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2211302832025 + 259940904336 = 1487045^2 + 509844^2 .

It is not a de Polignac number, because 2471243736361 - 2¹ = 2471243736359 is a prime.

It is a super-3 number, since 3×2471243736361³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2471243736301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58143460 + ... + 58185946.

It is an arithmetic number, because the mean of its divisors is an integer number (282211003711).

Almost surely, 2^{2471243736361} is an apocalyptic number.

2471243736361 is the 1572019-th square number.

2471243736361 is the 786010-th centered octagonal number.

It is an amenable number.

2471243736361 is a deficient number, since it is larger than the sum of its proper divisors (68655297038).

2471243736361 is an frugal number, since it uses more digits than its factorization.

2471243736361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85048 (or 42524 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 49.

Multiplying 2471243736361 by its sum of digits (49), we get a square (121090943081689 = 11004133²).

The spelling of 2471243736361 in words is "two trillion, four hundred seventy-one billion, two hundred forty-three million, seven hundred thirty-six thousand, three hundred sixty-one".