2098647967680 has 840 divisors, whose sum is σ = 8063594154720. Its totient is φ = 500881920000.

The previous prime is 2098647967673. The next prime is 2098647967687. The reversal of 2098647967680 is 867697468902.

2098647967680 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 6 + 479 + 6 + 76 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2098647967673) and next prime (2098647967687).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2098647967599 and 2098647967608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098647967687) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2993791330 + ... + 2993792030.

Almost surely, 2^{2098647967680} is an apocalyptic number.

2098647967680 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 2098647967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031797077360).

2098647967680 is an abundant number, since it is smaller than the sum of its proper divisors (5964946187040).

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

2098647967680 is an equidigital number, since it uses as much as digits as its factorization.

2098647967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 2098647967680 in words is "two trillion, ninety-eight billion, six hundred forty-seven million, nine hundred sixty-seven thousand, six hundred eighty".