2008357120 has 432 divisors, whose sum is σ = 6341763456. Its totient is φ = 602112000.

The previous prime is 2008357081. The next prime is 2008357121. The reversal of 2008357120 is 217538002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2008357121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28286685 + ... + 28286755.

It is an arithmetic number, because the mean of its divisors is an integer number (14680008).

Almost surely, 2^2008357120 is an apocalyptic number.

2008357120 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 2008357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170881728).

2008357120 is an abundant number, since it is smaller than the sum of its proper divisors (4333406336).

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

2008357120 is a wasteful number, since it uses less digits than its factorization.

2008357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2008357120 is about 44814.6975890723. The cubic root of 2008357120 is about 1261.6734964897.

It can be divided in two parts, 2008 and 357120, that added together give a triangular number (359128 = T₈₄₇).

The spelling of 2008357120 in words is "two billion, eight million, three hundred fifty-seven thousand, one hundred twenty".