2800829664 has 192 divisors, whose sum is σ = 8543324160. Its totient is φ = 902793600.

The previous prime is 2800829659. The next prime is 2800829671. The reversal of 2800829664 is 4669280082.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2168859 + ... + 2170149.

It is an arithmetic number, because the mean of its divisors is an integer number (44496480).

Almost surely, 2^2800829664 is an apocalyptic number.

2800829664 is a gapful number since it is divisible by the number (24) 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 2800829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271662080).

2800829664 is an abundant number, since it is smaller than the sum of its proper divisors (5742494496).

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

2800829664 is an equidigital number, since it uses as much as digits as its factorization.

2800829664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2800829664 is about 52922.8652285569. The cubic root of 2800829664 is about 1409.5989443334.

The spelling of 2800829664 in words is "two billion, eight hundred million, eight hundred twenty-nine thousand, six hundred sixty-four".