2097181646784 has 336 divisors, whose sum is σ = 7143366537216. Its totient is φ = 575628595200.

The previous prime is 2097181646779. The next prime is 2097181646843. The reversal of 2097181646784 is 4876461817902.

2097181646784 is a `hidden beast` number, since 2 + 0 + 97 + 1 + 8 + 1 + 6 + 467 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17062669 + ... + 17185139.

It is an arithmetic number, because the mean of its divisors is an integer number (21260019456).

Almost surely, 2^{2097181646784} is an apocalyptic number.

2097181646784 is a gapful number since it is divisible by the number (24) 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 2097181646784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571683268608).

2097181646784 is an abundant number, since it is smaller than the sum of its proper divisors (5046184890432).

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

2097181646784 is a wasteful number, since it uses less digits than its factorization.

2097181646784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122664 (or 122651 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2097181646784 in words is "two trillion, ninety-seven billion, one hundred eighty-one million, six hundred forty-six thousand, seven hundred eighty-four".