2829708000 has 768 divisors, whose sum is σ = 12454041600. Its totient is φ = 609638400.

The previous prime is 2829707999. The next prime is 2829708023. The reversal of 2829708000 is 8079282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14363902 + ... + 14364098.

It is an arithmetic number, because the mean of its divisors is an integer number (16216200).

Almost surely, 2^2829708000 is an apocalyptic number.

2829708000 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 2829708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227020800).

2829708000 is an abundant number, since it is smaller than the sum of its proper divisors (9624333600).

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

2829708000 is a wasteful number, since it uses less digits than its factorization.

2829708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2829708000 is about 53194.9997650155. Note that the first 3 decimals coincide. The cubic root of 2829708000 is about 1414.4270093649.

The spelling of 2829708000 in words is "two billion, eight hundred twenty-nine million, seven hundred eight thousand".