2008290240 has 672 divisors, whose sum is σ = 8318479680. Its totient is φ = 454164480.

The previous prime is 2008290233. The next prime is 2008290293. The reversal of 2008290240 is 420928002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17772424 + ... + 17772536.

It is an arithmetic number, because the mean of its divisors is an integer number (12378690).

Almost surely, 2^2008290240 is an apocalyptic number.

2008290240 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 2008290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159239840).

2008290240 is an abundant number, since it is smaller than the sum of its proper divisors (6310189440).

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

2008290240 is a wasteful number, since it uses less digits than its factorization.

2008290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2008290240 is about 44813.9513990900. The cubic root of 2008290240 is about 1261.6594914008.

The spelling of 2008290240 in words is "two billion, eight million, two hundred ninety thousand, two hundred forty".