2008725600 has 864 divisors, whose sum is σ = 8549452800. Its totient is φ = 406425600.

The previous prime is 2008725577. The next prime is 2008725611. The reversal of 2008725600 is 65278002.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 143 ways as a sum of consecutive naturals, for example, 64797585 + ... + 64797615.

It is an arithmetic number, because the mean of its divisors is an integer number (9895200).

Almost surely, 2^2008725600 is an apocalyptic number.

2008725600 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 2008725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

2008725600 is an abundant number, since it is smaller than the sum of its proper divisors (6540727200).

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

2008725600 is a wasteful number, since it uses less digits than its factorization.

2008725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2008725600 is about 44818.8085517676. The cubic root of 2008725600 is about 1261.7506529237.

The spelling of 2008725600 in words is "two billion, eight million, seven hundred twenty-five thousand, six hundred".