2008638720 has 432 divisors, whose sum is σ = 7702478784. Its totient is φ = 483225600.

The previous prime is 2008638701. The next prime is 2008638739. The reversal of 2008638720 is 278368002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2008638701) and next prime (2008638739).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15333055 + ... + 15333185.

It is an arithmetic number, because the mean of its divisors is an integer number (17829812).

Almost surely, 2^2008638720 is an apocalyptic number.

2008638720 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 2008638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851239392).

2008638720 is an abundant number, since it is smaller than the sum of its proper divisors (5693840064).

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

2008638720 is a wasteful number, since it uses less digits than its factorization.

2008638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2008638720 is about 44817.8393053480. The cubic root of 2008638720 is about 1261.7324618747.

The spelling of 2008638720 in words is "two billion, eight million, six hundred thirty-eight thousand, seven hundred twenty".