2008072640 has 112 divisors (see below), whose sum is σ = 5786396352. Its totient is φ = 647970816.

The previous prime is 2008072637. The next prime is 2008072667. The reversal of 2008072640 is 462708002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11714 + ... + 64446.

Almost surely, 2^2008072640 is an apocalyptic number.

2008072640 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 2008072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893198176).

2008072640 is an abundant number, since it is smaller than the sum of its proper divisors (3778323712).

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

2008072640 is a wasteful number, since it uses less digits than its factorization.

2008072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52774 (or 52764 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2008072640 is about 44811.5235179524. The cubic root of 2008072640 is about 1261.6139224526.

The spelling of 2008072640 in words is "two billion, eight million, seventy-two thousand, six hundred forty".