2029533792 has 384 divisors, whose sum is σ = 6827950080. Its totient is φ = 518400000.

The previous prime is 2029533791. The next prime is 2029533853. The reversal of 2029533792 is 2973359202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029533791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8085667 + ... + 8085917.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2^2029533792 is an apocalyptic number.

2029533792 is a gapful number since it is divisible by the number (22) 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 2029533792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413975040).

2029533792 is an abundant number, since it is smaller than the sum of its proper divisors (4798416288).

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

2029533792 is a wasteful number, since it uses less digits than its factorization.

2029533792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 2029533792 is about 45050.3473016580. The cubic root of 2029533792 is about 1266.0924789378.

The spelling of 2029533792 in words is "two billion, twenty-nine million, five hundred thirty-three thousand, seven hundred ninety-two".