2009487605760 has 768 divisors, whose sum is σ = 7651646402400. Its totient is φ = 504172118016.

The previous prime is 2009487605759. The next prime is 2009487605779. The reversal of 2009487605760 is 675067849002.

2009487605760 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 4 + 8 + 7 + 60 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×2009487605760³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2009487605697 and 2009487605706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676821556 + ... + 676824524.

Almost surely, 2^{2009487605760} is an apocalyptic number.

2009487605760 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 2009487605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825823201200).

2009487605760 is an abundant number, since it is smaller than the sum of its proper divisors (5642158796640).

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

2009487605760 is an frugal number, since it uses more digits than its factorization.

2009487605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2009487605760 in words is "two trillion, nine billion, four hundred eighty-seven million, six hundred five thousand, seven hundred sixty".