2009304843840 has 1120 divisors, whose sum is σ = 8432367102720. Its totient is φ = 444565241856.

The previous prime is 2009304843839. The next prime is 2009304843853. The reversal of 2009304843840 is 483484039002.

2009304843840 is a `hidden beast` number, since 2 + 0 + 0 + 93 + 0 + 484 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1537340467 + ... + 1537341773.

Almost surely, 2^{2009304843840} is an apocalyptic number.

2009304843840 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 2009304843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216183551360).

2009304843840 is an abundant number, since it is smaller than the sum of its proper divisors (6423062258880).

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

2009304843840 is a wasteful number, since it uses less digits than its factorization.

2009304843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2009304843840 in words is "two trillion, nine billion, three hundred four million, eight hundred forty-three thousand, eight hundred forty".