2829067936 has 48 divisors (see below), whose sum is σ = 5846964480. Its totient is φ = 1345674240.

The previous prime is 2829067931. The next prime is 2829067939. The reversal of 2829067936 is 6397609282.

It is not an unprimeable number, because it can be changed into a prime (2829067931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34360 + ... + 82696.

It is an arithmetic number, because the mean of its divisors is an integer number (121811760).

Almost surely, 2^2829067936 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 2829067936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923482240).

2829067936 is an abundant number, since it is smaller than the sum of its proper divisors (3017896544).

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

2829067936 is a wasteful number, since it uses less digits than its factorization.

2829067936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48437 (or 48429 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 2829067936 is about 53188.9832202121. The cubic root of 2829067936 is about 1414.3203561840.

The spelling of 2829067936 in words is "two billion, eight hundred twenty-nine million, sixty-seven thousand, nine hundred thirty-six".