2981673676800 has 1872 divisors, whose sum is σ = 13730138194080. Its totient is φ = 628728791040.

The previous prime is 2981673676799. The next prime is 2981673676867. The reversal of 2981673676800 is 86763761892.

It is a tau number, because it is divible by the number of its divisors (1872).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1761176754 + ... + 1761178446.

Almost surely, 2^{2981673676800} is an apocalyptic number.

2981673676800 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 2981673676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865069097040).

2981673676800 is an abundant number, since it is smaller than the sum of its proper divisors (10748464517280).

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

2981673676800 is a wasteful number, since it uses less digits than its factorization.

2981673676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2981673676800 in words is "two trillion, nine hundred eighty-one billion, six hundred seventy-three million, six hundred seventy-six thousand, eight hundred".