2839668000 has 384 divisors, whose sum is σ = 10170800640. Its totient is φ = 688435200.

The previous prime is 2839667969. The next prime is 2839668001. The reversal of 2839668000 is 8669382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2839668001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17003917 + ... + 17004083.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 2^2839668000 is an apocalyptic number.

2839668000 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 2839668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085400320).

2839668000 is an abundant number, since it is smaller than the sum of its proper divisors (7331132640).

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

2839668000 is a wasteful number, since it uses less digits than its factorization.

2839668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2839668000 is about 53288.5353523626. The cubic root of 2839668000 is about 1416.0845651561.

The spelling of 2839668000 in words is "two billion, eight hundred thirty-nine million, six hundred sixty-eight thousand".