2829301120 has 128 divisors (see below), whose sum is σ = 6940080000. Its totient is φ = 1102553088.

The previous prime is 2829301117. The next prime is 2829301133. The reversal of 2829301120 is 211039282.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8106706 + ... + 8107054.

It is an arithmetic number, because the mean of its divisors is an integer number (54219375).

Almost surely, 2^2829301120 is an apocalyptic number.

2829301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470040000).

2829301120 is an abundant number, since it is smaller than the sum of its proper divisors (4110778880).

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

2829301120 is a wasteful number, since it uses less digits than its factorization.

2829301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2829301120 is about 53191.1752079234. The cubic root of 2829301120 is about 1414.3592132475.

The spelling of 2829301120 in words is "two billion, eight hundred twenty-nine million, three hundred one thousand, one hundred twenty".