2966893960800 has 2592 divisors, whose sum is σ = 13237972715520. Its totient is φ = 564258816000.

The previous prime is 2966893960799. The next prime is 2966893960819. The reversal of 2966893960800 is 80693986692.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 33335887156 + ... + 33335887244.

It is an arithmetic number, because the mean of its divisors is an integer number (5107242560).

Almost surely, 2^{2966893960800} is an apocalyptic number.

2966893960800 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 2966893960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618986357760).

2966893960800 is an abundant number, since it is smaller than the sum of its proper divisors (10271078754720).

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

2966893960800 is a wasteful number, since it uses less digits than its factorization.

2966893960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 2966893960800 in words is "two trillion, nine hundred sixty-six billion, eight hundred ninety-three million, nine hundred sixty thousand, eight hundred".