2966906880000 has 2250 divisors, whose sum is σ = 13061097178206. Its totient is φ = 668860416000.

The previous prime is 2966906879983. The next prime is 2966906880029. The reversal of 2966906880000 is 886096692.

It can be written as a sum of positive squares in 5 ways, for example, as 1065420324864 + 1901486555136 = 1032192^2 + 1378944^2 .

It is a tau number, because it is divible by the number of its divisors (2250).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 40642559964 + ... + 40642560036.

Almost surely, 2^{2966906880000} is an apocalyptic number.

2966906880000 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 2966906880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530548589103).

2966906880000 is an abundant number, since it is smaller than the sum of its proper divisors (10094190298206).

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

2966906880000 is an frugal number, since it uses more digits than its factorization.

2966906880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2966906880000 in words is "two trillion, nine hundred sixty-six billion, nine hundred six million, eight hundred eighty thousand".