2008484192 has 96 divisors (see below), whose sum is σ = 4715553024. Its totient is φ = 830016000.

The previous prime is 2008484189. The next prime is 2008484213. The reversal of 2008484192 is 2914848002.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303317 + ... + 309867.

It is an arithmetic number, because the mean of its divisors is an integer number (49120344).

Almost surely, 2^2008484192 is an apocalyptic number.

2008484192 is a gapful number since it is divisible by the number (22) 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 2008484192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357776512).

2008484192 is an abundant number, since it is smaller than the sum of its proper divisors (2707068832).

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

2008484192 is a wasteful number, since it uses less digits than its factorization.

2008484192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 2008484192 is about 44816.1153158102. The cubic root of 2008484192 is about 1261.7001053021.

The spelling of 2008484192 in words is "two billion, eight million, four hundred eighty-four thousand, one hundred ninety-two".