2035729152 has 144 divisors (see below), whose sum is σ = 6134698080. Its totient is φ = 665653248.

The previous prime is 2035729147. The next prime is 2035729207. The reversal of 2035729152 is 2519275302.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 363558 + ... + 369114.

It is an arithmetic number, because the mean of its divisors is an integer number (42602070).

Almost surely, 2^2035729152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2035729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067349040).

2035729152 is an abundant number, since it is smaller than the sum of its proper divisors (4098968928).

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

2035729152 is an equidigital number, since it uses as much as digits as its factorization.

2035729152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2035729152 is about 45119.0553092593. The cubic root of 2035729152 is about 1267.3794626455.

The spelling of 2035729152 in words is "two billion, thirty-five million, seven hundred twenty-nine thousand, one hundred fifty-two".