2009427840 has 768 divisors, whose sum is σ = 8681587200. Its totient is φ = 418037760.

The previous prime is 2009427817. The next prime is 2009427869. The reversal of 2009427840 is 487249002.

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 = 2009427795 and 2009427804.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 32941410 + ... + 32941470.

It is an arithmetic number, because the mean of its divisors is an integer number (11304150).

Almost surely, 2^2009427840 is an apocalyptic number.

2009427840 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 2009427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340793600).

2009427840 is an abundant number, since it is smaller than the sum of its proper divisors (6672159360).

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

2009427840 is a wasteful number, since it uses less digits than its factorization.

2009427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2009427840 is about 44826.6420781214. The cubic root of 2009427840 is about 1261.8976696102.

The spelling of 2009427840 in words is "two billion, nine million, four hundred twenty-seven thousand, eight hundred forty".