2008284853000 has 128 divisors (see below), whose sum is σ = 4851421492320. Its totient is φ = 777550233600.

The previous prime is 2008284852967. The next prime is 2008284853013. The reversal of 2008284853000 is 3584828002.

It can be written as a sum of positive squares in 16 ways, for example, as 5080553284 + 2003204299716 = 71278^2 + 1415346^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 7000384 + ... + 7281616.

Almost surely, 2^{2008284853000} is an apocalyptic number.

2008284853000 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 2008284853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425710746160).

2008284853000 is an abundant number, since it is smaller than the sum of its proper divisors (2843136639320).

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

2008284853000 is a wasteful number, since it uses less digits than its factorization.

2008284853000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281484 (or 281470 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 2008284853000 in words is "two trillion, eight billion, two hundred eighty-four million, eight hundred fifty-three thousand".