2066677760 has 272 divisors, whose sum is σ = 6115248576. Its totient is φ = 654311424.

The previous prime is 2066677759. The next prime is 2066677763. The reversal of 2066677760 is 677766602.

It is a tau number, because it is divible by the number of its divisors (272).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066677763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38993894 + ... + 38993946.

Almost surely, 2^2066677760 is an apocalyptic number.

2066677760 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 2066677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057624288).

2066677760 is an abundant number, since it is smaller than the sum of its proper divisors (4048570816).

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

2066677760 is an frugal number, since it uses more digits than its factorization.

2066677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 47.

The square root of 2066677760 is about 45460.7276668555. The cubic root of 2066677760 is about 1273.7697239363.

The spelling of 2066677760 in words is "two billion, sixty-six million, six hundred seventy-seven thousand, seven hundred sixty".