2829684960 has 144 divisors (see below), whose sum is σ = 9967950720. Its totient is φ = 730229760.

The previous prime is 2829684941. The next prime is 2829684973. The reversal of 2829684960 is 694869282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2829684897 and 2829684906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12946 + ... + 76334.

It is an arithmetic number, because the mean of its divisors is an integer number (69221880).

Almost surely, 2^2829684960 is an apocalyptic number.

2829684960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983975360).

2829684960 is an abundant number, since it is smaller than the sum of its proper divisors (7138265760).

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

2829684960 is a wasteful number, since it uses less digits than its factorization.

2829684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63441 (or 63430 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2829684960 is about 53194.7832028668. The cubic root of 2829684960 is about 1414.4231705134.

The spelling of 2829684960 in words is "two billion, eight hundred twenty-nine million, six hundred eighty-four thousand, nine hundred sixty".