2968549785600 has 1224 divisors, whose sum is σ = 11889251182080. Its totient is φ = 640124190720.

The previous prime is 2968549785599. The next prime is 2968549785629. The reversal of 2968549785600 is 65879458692.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12420710281 + ... + 12420710519.

Almost surely, 2^{2968549785600} is an apocalyptic number.

2968549785600 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 2968549785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944625591040).

2968549785600 is an abundant number, since it is smaller than the sum of its proper divisors (8920701396480).

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

2968549785600 is an equidigital number, since it uses as much as digits as its factorization.

2968549785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 2968549785600 in words is "two trillion, nine hundred sixty-eight billion, five hundred forty-nine million, seven hundred eighty-five thousand, six hundred".