2966404545216 has 336 divisors, whose sum is σ = 10424732048640. Its totient is φ = 818317624320.

The previous prime is 2966404545121. The next prime is 2966404545253. The reversal of 2966404545216 is 6125454046692.

2966404545216 is a `hidden beast` number, since 2 + 9 + 6 + 64 + 0 + 4 + 54 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 2687251 + ... + 3626861.

It is an arithmetic number, because the mean of its divisors is an integer number (31025988240).

Almost surely, 2^{2966404545216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966404545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212366024320).

2966404545216 is an abundant number, since it is smaller than the sum of its proper divisors (7458327503424).

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

2966404545216 is an equidigital number, since it uses as much as digits as its factorization.

2966404545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939674 (or 939652 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2966404545216 in words is "two trillion, nine hundred sixty-six billion, four hundred four million, five hundred forty-five thousand, two hundred sixteen".