2008722240 has 280 divisors, whose sum is σ = 8166884352. Its totient is φ = 459095040.

The previous prime is 2008722223. The next prime is 2008722241. The reversal of 2008722240 is 422278002.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008722241) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 175905 + ... + 186975.

Almost surely, 2^2008722240 is an apocalyptic number.

2008722240 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 2008722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083442176).

2008722240 is an abundant number, since it is smaller than the sum of its proper divisors (6158162112).

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

2008722240 is a wasteful number, since it uses less digits than its factorization.

2008722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107 (or 11088 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2008722240 is about 44818.7710674891. The cubic root of 2008722240 is about 1261.7499494122.

The spelling of 2008722240 in words is "two billion, eight million, seven hundred twenty-two thousand, two hundred forty".