2009208240 has 800 divisors, whose sum is σ = 8439209856. Its totient is φ = 437944320.

The previous prime is 2009208221. The next prime is 2009208277. The reversal of 2009208240 is 428029002.

It is a super-3 number, since 3×2009208240³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32937810 + ... + 32937870.

Almost surely, 2^2009208240 is an apocalyptic number.

2009208240 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 2009208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219604928).

2009208240 is an abundant number, since it is smaller than the sum of its proper divisors (6430001616).

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

2009208240 is a wasteful number, since it uses less digits than its factorization.

2009208240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

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

The square root of 2009208240 is about 44824.1925749924. The cubic root of 2009208240 is about 1261.8516991739.

The spelling of 2009208240 in words is "two billion, nine million, two hundred eight thousand, two hundred forty".