2008354824 has 160 divisors (see below), whose sum is σ = 6586272000. Its totient is φ = 559768320.

The previous prime is 2008354787. The next prime is 2008354847. The reversal of 2008354824 is 4284538002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180577 + ... + 191375.

It is an arithmetic number, because the mean of its divisors is an integer number (41164200).

Almost surely, 2^2008354824 is an apocalyptic number.

2008354824 is a gapful number since it is divisible by the number (24) 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 2008354824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136000).

2008354824 is an abundant number, since it is smaller than the sum of its proper divisors (4577917176).

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

2008354824 is a wasteful number, since it uses less digits than its factorization.

2008354824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2008354824 is about 44814.6719724690. The cubic root of 2008354824 is about 1261.6730156981.

The spelling of 2008354824 in words is "two billion, eight million, three hundred fifty-four thousand, eight hundred twenty-four".