2829008896 has 120 divisors (see below), whose sum is σ = 6851186496. Its totient is φ = 1140326400.

The previous prime is 2829008893. The next prime is 2829008909. The reversal of 2829008896 is 6988009282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829008893) 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, 1948971 + ... + 1950421.

Almost surely, 2^2829008896 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 2829008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425593248).

2829008896 is an abundant number, since it is smaller than the sum of its proper divisors (4022177600).

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

2829008896 is an equidigital number, since it uses as much as digits as its factorization.

2829008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 2829008896 is about 53188.4282151673. The cubic root of 2829008896 is about 1414.3105176016.

The spelling of 2829008896 in words is "two billion, eight hundred twenty-nine million, eight thousand, eight hundred ninety-six".