2029712328 has 192 divisors, whose sum is σ = 6406508160. Its totient is φ = 568608768.

The previous prime is 2029712317. The next prime is 2029712329. The reversal of 2029712328 is 8232179202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2029712292 and 2029712301.

It is not an unprimeable number, because it can be changed into a prime (2029712329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8941351 + ... + 8941577.

It is an arithmetic number, because the mean of its divisors is an integer number (33367230).

Almost surely, 2^2029712328 is an apocalyptic number.

2029712328 is a gapful number since it is divisible by the number (28) 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 2029712328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203254080).

2029712328 is an abundant number, since it is smaller than the sum of its proper divisors (4376795832).

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

2029712328 is a wasteful number, since it uses less digits than its factorization.

2029712328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2029712328 is about 45052.3287744374. The cubic root of 2029712328 is about 1266.1296034669.

The spelling of 2029712328 in words is "two billion, twenty-nine million, seven hundred twelve thousand, three hundred twenty-eight".