2008025600 has 240 divisors, whose sum is σ = 5782421568. Its totient is φ = 676823040.

The previous prime is 2008025561. The next prime is 2008025611. The reversal of 2008025600 is 65208002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6540647 + ... + 6540953.

Almost surely, 2^2008025600 is an apocalyptic number.

2008025600 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 2008025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891210784).

2008025600 is an abundant number, since it is smaller than the sum of its proper divisors (3774395968).

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

2008025600 is an equidigital number, since it uses as much as digits as its factorization.

2008025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2008025600 is about 44810.9986498851. The cubic root of 2008025600 is about 1261.6040710855.

The spelling of 2008025600 in words is "two billion, eight million, twenty-five thousand, six hundred".