2008926720 has 480 divisors, whose sum is σ = 7721505792. Its totient is φ = 480116736.

The previous prime is 2008926719. The next prime is 2008926721. The reversal of 2008926720 is 276298002.

It is an interprime number because it is at equal distance from previous prime (2008926719) and next prime (2008926721).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008926721) 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, 9008529 + ... + 9008751.

Almost surely, 2^2008926720 is an apocalyptic number.

2008926720 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 2008926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860752896).

2008926720 is an abundant number, since it is smaller than the sum of its proper divisors (5712579072).

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

2008926720 is a wasteful number, since it uses less digits than its factorization.

2008926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2008926720 is about 44821.0521964846. The cubic root of 2008926720 is about 1261.7927616820.

The spelling of 2008926720 in words is "two billion, eight million, nine hundred twenty-six thousand, seven hundred twenty".