2665771680 has 384 divisors, whose sum is σ = 10022455296. Its totient is φ = 587059200.

The previous prime is 2665771583. The next prime is 2665771681. The reversal of 2665771680 is 861775662.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2665771681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4873167 + ... + 4873713.

It is an arithmetic number, because the mean of its divisors is an integer number (26100144).

Almost surely, 2^2665771680 is an apocalyptic number.

2665771680 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 2665771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011227648).

2665771680 is an abundant number, since it is smaller than the sum of its proper divisors (7356683616).

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

2665771680 is a wasteful number, since it uses less digits than its factorization.

2665771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2665771680 is about 51631.1115510794. Note that the first 3 decimals coincide. The cubic root of 2665771680 is about 1386.5673940684.

The spelling of 2665771680 in words is "two billion, six hundred sixty-five million, seven hundred seventy-one thousand, six hundred eighty".