2829231936 has 448 divisors, whose sum is σ = 9590227200. Its totient is φ = 812187648.

The previous prime is 2829231931. The next prime is 2829231941. The reversal of 2829231936 is 6391329282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2829231931) and next prime (2829231941).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2829231891 and 2829231900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829231931) 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, 20651260 + ... + 20651396.

Almost surely, 2^2829231936 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 2829231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795113600).

2829231936 is an abundant number, since it is smaller than the sum of its proper divisors (6760995264).

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

2829231936 is a wasteful number, since it uses less digits than its factorization.

2829231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2829231936 is about 53190.5248705068. The cubic root of 2829231936 is about 1414.3476848616.

The spelling of 2829231936 in words is "two billion, eight hundred twenty-nine million, two hundred thirty-one thousand, nine hundred thirty-six".