2966581280 has 192 divisors, whose sum is σ = 7780002048. Its totient is φ = 1062236160.

The previous prime is 2966581279. The next prime is 2966581327. The reversal of 2966581280 is 821856692.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13068527 + ... + 13068753.

It is an arithmetic number, because the mean of its divisors is an integer number (40520844).

Almost surely, 2^2966581280 is an apocalyptic number.

2966581280 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 2966581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890001024).

2966581280 is an abundant number, since it is smaller than the sum of its proper divisors (4813420768).

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

2966581280 is a wasteful number, since it uses less digits than its factorization.

2966581280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 2966581280 is about 54466.3316187165. The cubic root of 2966581280 is about 1436.8742126058.

The spelling of 2966581280 in words is "two billion, nine hundred sixty-six million, five hundred eighty-one thousand, two hundred eighty".