2739365940609 has 135 divisors (see below), whose sum is σ = 4448488448677. Its totient is φ = 1624278361728.

The previous prime is 2739365940601. The next prime is 2739365940613. The reversal of 2739365940609 is 9060495639372.

The square root of 2739365940609 is 1655103.

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

2739365940609 is a `hidden beast` number, since 2 + 7 + 3 + 9 + 36 + 594 + 0 + 6 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 850170670209 + 1889195270400 = 922047^2 + 1374480^2 .

It is not a de Polignac number, because 2739365940609 - 2³ = 2739365940601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2739365940601) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 33004408882 + ... + 33004408964.

Almost surely, 2^{2739365940609} is an apocalyptic number.

2739365940609 is the 1655103-rd square number.

2739365940609 is the 827552-nd centered octagonal number.

It is an amenable number.

2739365940609 is a deficient number, since it is larger than the sum of its proper divisors (1709122508068).

2739365940609 is an frugal number, since it uses more digits than its factorization.

2739365940609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 2739365940609 in words is "two trillion, seven hundred thirty-nine billion, three hundred sixty-five million, nine hundred forty thousand, six hundred nine".