2829863341 has 16 divisors (see below), whose sum is σ = 2940696880. Its totient is φ = 2720977920.

The previous prime is 2829863327. The next prime is 2829863371. The reversal of 2829863341 is 1433689282.

It can be written as a sum of positive squares in 8 ways, for example, as 1014677316 + 1815186025 = 31854^2 + 42605^2 .

It is a 6-Lehmer number, since φ(2829863341) divides (2829863341-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 2829863341 - 2³¹ = 682379693 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2829863291 and 2829863300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829863371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181205 + ... + 2182501.

It is an arithmetic number, because the mean of its divisors is an integer number (183793555).

Almost surely, 2^2829863341 is an apocalyptic number.

It is an amenable number.

2829863341 is a deficient number, since it is larger than the sum of its proper divisors (110833539).

2829863341 is a wasteful number, since it uses less digits than its factorization.

2829863341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its digits is 497664, while the sum is 46.

The square root of 2829863341 is about 53196.4598540166. The cubic root of 2829863341 is about 1414.4528912446.

The spelling of 2829863341 in words is "two billion, eight hundred twenty-nine million, eight hundred sixty-three thousand, three hundred forty-one".