2008284869034 has 192 divisors, whose sum is σ = 4500084869280. Its totient is φ = 647122452480.

The previous prime is 2008284869029. The next prime is 2008284869039. The reversal of 2008284869034 is 4309684828002.

2008284869034 is a `hidden beast` number, since 20 + 0 + 8 + 28 + 486 + 90 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (2008284869029) and next prime (2008284869039).

It can be written as a sum of positive squares in 16 ways, for example, as 121637025225 + 1886647843809 = 348765^2 + 1373553^2 .

It is not an unprimeable number, because it can be changed into a prime (2008284869039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5959302114 + ... + 5959302450.

Almost surely, 2^{2008284869034} is an apocalyptic number.

2008284869034 is an abundant number, since it is smaller than the sum of its proper divisors (2491800000246).

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

2008284869034 is a wasteful number, since it uses less digits than its factorization.

2008284869034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2008284869034 in words is "two trillion, eight billion, two hundred eighty-four million, eight hundred sixty-nine thousand, thirty-four".