2829119920 has 40 divisors (see below), whose sum is σ = 7175679120. Its totient is φ = 1028770560.

The previous prime is 2829119879. The next prime is 2829119939. The reversal of 2829119920 is 299119282.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1606575 + ... + 1608334.

It is an arithmetic number, because the mean of its divisors is an integer number (179391978).

Almost surely, 2^2829119920 is an apocalyptic number.

2829119920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2829119920 is an abundant number, since it is smaller than the sum of its proper divisors (4346559200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2829119920 is a wasteful number, since it uses less digits than its factorization.

2829119920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214933 (or 3214927 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 2829119920 is about 53189.4718905913. The cubic root of 2829119920 is about 1414.3290188226.

The spelling of 2829119920 in words is "two billion, eight hundred twenty-nine million, one hundred nineteen thousand, nine hundred twenty".