2035131072 has 112 divisors (see below), whose sum is σ = 5813633280. Its totient is φ = 624595968.

The previous prime is 2035131053. The next prime is 2035131079. The reversal of 2035131072 is 2701315302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2035131079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304629 + ... + 1306187.

It is an arithmetic number, because the mean of its divisors is an integer number (51907440).

Almost surely, 2^2035131072 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 2035131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906816640).

2035131072 is an abundant number, since it is smaller than the sum of its proper divisors (3778502208).

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

2035131072 is a wasteful number, since it uses less digits than its factorization.

2035131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2035131072 is about 45112.4270240474. The cubic root of 2035131072 is about 1267.2553353680.

Adding to 2035131072 its reverse (2701315302), we get a palindrome (4736446374).

The spelling of 2035131072 in words is "two billion, thirty-five million, one hundred thirty-one thousand, seventy-two".