2741664133314 has 48 divisors (see below), whose sum is σ = 6145024953600. Its totient is φ = 882513894240.

The previous prime is 2741664133259. The next prime is 2741664133381. The reversal of 2741664133314 is 4133314661472.

It is a happy number.

2741664133314 is a `hidden beast` number, since 2 + 74 + 166 + 413 + 3 + 3 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2741664133314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4999989 + ... + 5521160.

It is an arithmetic number, because the mean of its divisors is an integer number (128021353200).

Almost surely, 2^{2741664133314} is an apocalyptic number.

2741664133314 is an abundant number, since it is smaller than the sum of its proper divisors (3403360820286).

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

2741664133314 is a wasteful number, since it uses less digits than its factorization.

2741664133314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521655 (or 10521652 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

Adding to 2741664133314 its reverse (4133314661472), we get a palindrome (6874978794786).

The spelling of 2741664133314 in words is "two trillion, seven hundred forty-one billion, six hundred sixty-four million, one hundred thirty-three thousand, three hundred fourteen".