2781733629609 has 135 divisors (see below), whose sum is σ = 4856922293223. Its totient is φ = 1585127491200.

The previous prime is 2781733629553. The next prime is 2781733629691. The reversal of 2781733629609 is 9069263371872.

The square root of 2781733629609 is 1667853.

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

2781733629609 is a `hidden beast` number, since 2 + 7 + 8 + 1 + 7 + 336 + 296 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2165709573225 + 616024056384 = 1471635^2 + 784872^2 .

It is not a de Polignac number, because 2781733629609 - 2⁹ = 2781733629097 is a prime.

It is a super-2 number, since 2×2781733629609² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2781733625609) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 2806996104 + ... + 2806997094.

Almost surely, 2^{2781733629609} is an apocalyptic number.

2781733629609 is the 1667853-rd square number.

2781733629609 is the 833927-th centered octagonal number.

It is an amenable number.

2781733629609 is a deficient number, since it is larger than the sum of its proper divisors (2075188663614).

2781733629609 is an frugal number, since it uses more digits than its factorization.

2781733629609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2781733629609 in words is "two trillion, seven hundred eighty-one billion, seven hundred thirty-three million, six hundred twenty-nine thousand, six hundred nine".