2829849 has 16 divisors (see below), whose sum is σ = 4259520. Its totient is φ = 1655360.

The previous prime is 2829839. The next prime is 2829863. The reversal of 2829849 is 9489282.

2829849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2829849 - 2¹⁶ = 2764313 is a prime.

2829849 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2829849.

It is not an unprimeable number, because it can be changed into a prime (2829809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (266220).

2^2829849 is an apocalyptic number.

2829849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2829849 is a deficient number, since it is larger than the sum of its proper divisors (1429671).

2829849 is a wasteful number, since it uses less digits than its factorization.

2829849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000.

The product of its digits is 82944, while the sum is 42.

The square root of 2829849 is about 1682.2155034359. The cubic root of 2829849 is about 141.4450501883.

The spelling of 2829849 in words is "two million, eight hundred twenty-nine thousand, eight hundred forty-nine".