2008053600 has 576 divisors, whose sum is σ = 8099481600. Its totient is φ = 421724160.

The previous prime is 2008053563. The next prime is 2008053623. The reversal of 2008053600 is 63508002.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 22562356 + ... + 22562444.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2^2008053600 is an apocalyptic number.

2008053600 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 2008053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2008053600 is an abundant number, since it is smaller than the sum of its proper divisors (6091428000).

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

2008053600 is a wasteful number, since it uses less digits than its factorization.

2008053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2008053600 is about 44811.3110720943. The cubic root of 2008053600 is about 1261.6099350131.

The spelling of 2008053600 in words is "two billion, eight million, fifty-three thousand, six hundred".