2832129120 has 96 divisors (see below), whose sum is σ = 9138860640. Its totient is φ = 736808960.

The previous prime is 2832129077. The next prime is 2832129137. The reversal of 2832129120 is 219212382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52275 + ... + 91634.

It is an arithmetic number, because the mean of its divisors is an integer number (95196465).

Almost surely, 2^2832129120 is an apocalyptic number.

2832129120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2832129120 is an abundant number, since it is smaller than the sum of its proper divisors (6306731520).

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

2832129120 is a wasteful number, since it uses less digits than its factorization.

2832129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143968 (or 143960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2832129120 is about 53217.7519254619. The cubic root of 2832129120 is about 1414.8302925905.

The spelling of 2832129120 in words is "two billion, eight hundred thirty-two million, one hundred twenty-nine thousand, one hundred twenty".