2781933984000 has 1152 divisors, whose sum is σ = 10508941148160. Its totient is φ = 733656268800.

The previous prime is 2781933983989. The next prime is 2781933984097. The reversal of 2781933984000 is 4893391872.

2781933984000 is a `hidden beast` number, since 27 + 8 + 193 + 398 + 40 + 0 + 0 = 666.

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

It is a super-2 number, since 2×2781933984000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8887967844 + ... + 8887968156.

Almost surely, 2^{2781933984000} is an apocalyptic number.

2781933984000 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 2781933984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254470574080).

2781933984000 is an abundant number, since it is smaller than the sum of its proper divisors (7727007164160).

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

2781933984000 is an frugal number, since it uses more digits than its factorization.

2781933984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2781933984000 in words is "two trillion, seven hundred eighty-one billion, nine hundred thirty-three million, nine hundred eighty-four thousand".