2009846030760 has 448 divisors, whose sum is σ = 7149531600000. Its totient is φ = 506857720320.

The previous prime is 2009846030749. The next prime is 2009846030789. The reversal of 2009846030760 is 670306489002.

2009846030760 is a `hidden beast` number, since 2 + 0 + 0 + 98 + 460 + 30 + 76 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 349596366 + ... + 349602114.

Almost surely, 2^{2009846030760} is an apocalyptic number.

2009846030760 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 2009846030760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574765800000).

2009846030760 is an abundant number, since it is smaller than the sum of its proper divisors (5139685569240).

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

2009846030760 is a wasteful number, since it uses less digits than its factorization.

2009846030760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2009846030760 in words is "two trillion, nine billion, eight hundred forty-six million, thirty thousand, seven hundred sixty".