2829721648 has 80 divisors (see below), whose sum is σ = 6183104256. Its totient is φ = 1244770560.

The previous prime is 2829721637. The next prime is 2829721649. The reversal of 2829721648 is 8461279282.

It is a super-3 number, since 3×2829721648³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2829721649) 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, 1582611 + ... + 1584397.

Almost surely, 2^2829721648 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 2829721648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091552128).

2829721648 is an abundant number, since it is smaller than the sum of its proper divisors (3353382608).

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

2829721648 is a wasteful number, since it uses less digits than its factorization.

2829721648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 2829721648 is about 53195.1280475947. The cubic root of 2829721648 is about 1414.4292833415.

The spelling of 2829721648 in words is "two billion, eight hundred twenty-nine million, seven hundred twenty-one thousand, six hundred forty-eight".