2009582640 has 240 divisors, whose sum is σ = 7438503072. Its totient is φ = 483065856.

The previous prime is 2009582639. The next prime is 2009582693. The reversal of 2009582640 is 462859002.

It is a happy number.

2009582640 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 5 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2009582595 and 2009582604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 399984 + ... + 404976.

Almost surely, 2^2009582640 is an apocalyptic number.

2009582640 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 2009582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719251536).

2009582640 is an abundant number, since it is smaller than the sum of its proper divisors (5428920432).

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

2009582640 is a wasteful number, since it uses less digits than its factorization.

2009582640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2009582640 is about 44828.3686966189. The cubic root of 2009582640 is about 1261.9300729871.

The spelling of 2009582640 in words is "two billion, nine million, five hundred eighty-two thousand, six hundred forty".