2968844860800 has 1152 divisors, whose sum is σ = 13077436532160. Its totient is φ = 624508600320.

The previous prime is 2968844860789. The next prime is 2968844860823. The reversal of 2968844860800 is 80684488692.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 977556882 + ... + 977559918.

Almost surely, 2^{2968844860800} is an apocalyptic number.

2968844860800 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 2968844860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538718266080).

2968844860800 is an abundant number, since it is smaller than the sum of its proper divisors (10108591671360).

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

2968844860800 is a wasteful number, since it uses less digits than its factorization.

2968844860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 2968844860800 in words is "two trillion, nine hundred sixty-eight billion, eight hundred forty-four million, eight hundred sixty thousand, eight hundred".