2786505734089 has 135 divisors (see below), whose sum is σ = 3794350306509. Its totient is φ = 2044404275760.

The previous prime is 2786505734059. The next prime is 2786505734093. The reversal of 2786505734089 is 9804375056872.

The square root of 2786505734089 is 1669283.

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

2786505734089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2786505734089 - 2¹³ = 2786505725897 is a prime.

It is a super-2 number, since 2×2786505734089² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2786505734089.

It is not an unprimeable number, because it can be changed into a prime (2786505734059) 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, 17095127122 + ... + 17095127284.

Almost surely, 2^{2786505734089} is an apocalyptic number.

2786505734089 is the 1669283-rd square number.

2786505734089 is the 834642-nd centered octagonal number.

It is an amenable number.

2786505734089 is a deficient number, since it is larger than the sum of its proper divisors (1007844572420).

2786505734089 is an frugal number, since it uses more digits than its factorization.

2786505734089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 64.

Multiplying 2786505734089 by its sum of digits (64), we get a square (178336366981696 = 13354264²).

The spelling of 2786505734089 in words is "two trillion, seven hundred eighty-six billion, five hundred five million, seven hundred thirty-four thousand, eighty-nine".