2002856000 has 224 divisors, whose sum is σ = 5242255200. Its totient is φ = 756940800.

The previous prime is 2002855999. The next prime is 2002856059. The reversal of 2002856000 is 6582002.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1708664896 + 294191104 = 41336^2 + 17152^2 .

It is a super-2 number, since 2×2002856000² = 8022864313472000000, which contains 22 as substring.

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, 20647952 + ... + 20648048.

It is an arithmetic number, because the mean of its divisors is an integer number (23402925).

Almost surely, 2^2002856000 is an apocalyptic number.

2002856000 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 2002856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621127600).

2002856000 is an abundant number, since it is smaller than the sum of its proper divisors (3239399200).

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

2002856000 is an equidigital number, since it uses as much as digits as its factorization.

2002856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2002856000 is about 44753.2792094613. The cubic root of 2002856000 is about 1260.5204870730.

The spelling of 2002856000 in words is "two billion, two million, eight hundred fifty-six thousand".