2966799052800 has 1092 divisors, whose sum is σ = 12036166199304. Its totient is φ = 719024947200.

The previous prime is 2966799052739. The next prime is 2966799052817. The reversal of 2966799052800 is 82509976692.

2966799052800 is a `hidden beast` number, since 296 + 67 + 9 + 9 + 0 + 5 + 280 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 821143794 + ... + 821147406.

Almost surely, 2^{2966799052800} is an apocalyptic number.

2966799052800 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 2966799052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018083099652).

2966799052800 is an abundant number, since it is smaller than the sum of its proper divisors (9069367146504).

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

2966799052800 is an equidigital number, since it uses as much as digits as its factorization.

2966799052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 2966799052800 in words is "two trillion, nine hundred sixty-six billion, seven hundred ninety-nine million, fifty-two thousand, eight hundred".