2966602560 has 448 divisors, whose sum is σ = 10507553280. Its totient is φ = 706478080.

The previous prime is 2966602559. The next prime is 2966602577. The reversal of 2966602560 is 652066692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26253064 + ... + 26253176.

It is an arithmetic number, because the mean of its divisors is an integer number (23454360).

Almost surely, 2^2966602560 is an apocalyptic number.

2966602560 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 2966602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253776640).

2966602560 is an abundant number, since it is smaller than the sum of its proper divisors (7540950720).

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

2966602560 is a wasteful number, since it uses less digits than its factorization.

2966602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2966602560 is about 54466.5269684051. The cubic root of 2966602560 is about 1436.8776482789.

The spelling of 2966602560 in words is "two billion, nine hundred sixty-six million, six hundred two thousand, five hundred sixty".