2008047000 has 128 divisors (see below), whose sum is σ = 6481425600. Its totient is φ = 516992000.

The previous prime is 2008046969. The next prime is 2008047031. The reversal of 2008047000 is 7408002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2008046969) and next prime (2008047031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75460 + ... + 98540.

Almost surely, 2^2008047000 is an apocalyptic number.

2008047000 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 2008047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240712800).

2008047000 is an abundant number, since it is smaller than the sum of its proper divisors (4473378600).

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

2008047000 is a wasteful number, since it uses less digits than its factorization.

2008047000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23134 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2008047000 is about 44811.2374299126. The cubic root of 2008047000 is about 1261.6085528065.

The spelling of 2008047000 in words is "two billion, eight million, forty-seven thousand".