2166580080 has 480 divisors, whose sum is σ = 8789913600. Its totient is φ = 477550080.

The previous prime is 2166580007. The next prime is 2166580081. The reversal of 2166580080 is 800856612.

2166580080 = 8345² + 8346² + ... + 8375².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166580081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7655619 + ... + 7655901.

It is an arithmetic number, because the mean of its divisors is an integer number (18312320).

Almost surely, 2^2166580080 is an apocalyptic number.

2166580080 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 2166580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394956800).

2166580080 is an abundant number, since it is smaller than the sum of its proper divisors (6623333520).

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

2166580080 is a wasteful number, since it uses less digits than its factorization.

2166580080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2166580080 is about 46546.5367132722. The cubic root of 2166580080 is about 1293.9721086145.

The spelling of 2166580080 in words is "two billion, one hundred sixty-six million, five hundred eighty thousand, eighty".