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2740610719441 = 7261238772
BaseRepresentation
bin100111111000011001001…
…000001101111011010001
3100200222222212120112210001
4213320121020031323101
5324400232321010231
65455004051010001
7402000613515400
oct47703110157321
910628885515701
102740610719441
11967317338031
12383194b99901
1316b5914635ca
14969094d9637
154b4524a5b61
hex27e1920ded1

2740610719441 has 27 divisors (see below), whose sum is σ = 3242013594417. Its totient is φ = 2309989177440.

The previous prime is 2740610719421. The next prime is 2740610719453. The reversal of 2740610719441 is 1449170160472.

The square root of 2740610719441 is 1655479.

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

2740610719441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1576594140625 + 1164016578816 = 1255625^2 + 1078896^2 .

It is not a de Polignac number, because 2740610719441 - 215 = 2740610686673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2740610719391 and 2740610719400.

It is not an unprimeable number, because it can be changed into a prime (2740610719421) 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, 706887595 + ... + 706891471.

It is an arithmetic number, because the mean of its divisors is an integer number (120074577571).

Almost surely, 22740610719441 is an apocalyptic number.

2740610719441 is the 1655479-th square number.

2740610719441 is the 827740-th centered octagonal number.

It is an amenable number.

2740610719441 is a deficient number, since it is larger than the sum of its proper divisors (501402874976).

2740610719441 is an frugal number, since it uses more digits than its factorization.

2740610719441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 2740610719441 in words is "two trillion, seven hundred forty billion, six hundred ten million, seven hundred nineteen thousand, four hundred forty-one".

Divisors: 1 7 49 61 427 2989 3721 3877 26047 27139 182329 189973 236497 1655479 11588353 14426317 15031129 100984219 105217903 706889533 736525321 916898869 6418292083 44928044581 55930831009 391515817063 2740610719441