2782981323529 has 45 divisors (see below), whose sum is σ = 3255941907255. Its totient is φ = 2378224411200.

The previous prime is 2782981323481. The next prime is 2782981323533. The reversal of 2782981323529 is 9253231892872.

The square root of 2782981323529 is 1668227.

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

It can be written as a sum of positive squares in only one way, i.e., 2166680961225 + 616300362304 = 1471965^2 + 785048^2 .

It is not a de Polignac number, because 2782981323529 - 2²³ = 2782972934921 is a prime.

It is a super-2 number, since 2×2782981323529² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2782981320529) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3431542534 + ... + 3431543344.

Almost surely, 2^{2782981323529} is an apocalyptic number.

2782981323529 is the 1668227-th square number.

2782981323529 is the 834114-th centered octagonal number.

It is an amenable number.

2782981323529 is a deficient number, since it is larger than the sum of its proper divisors (472960583726).

2782981323529 is an frugal number, since it uses more digits than its factorization.

2782981323529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 839 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 2782981323529 in words is "two trillion, seven hundred eighty-two billion, nine hundred eighty-one million, three hundred twenty-three thousand, five hundred twenty-nine".