2098835608320 has 720 divisors, whose sum is σ = 8327329829280. Its totient is φ = 500450918400.

The previous prime is 2098835608279. The next prime is 2098835608327. The reversal of 2098835608320 is 238065388902.

2098835608320 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 8 + 3 + 5 + 608 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2098835608320² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2098835608327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69554196 + ... + 69584364.

It is an arithmetic number, because the mean of its divisors is an integer number (11565735874).

Almost surely, 2^{2098835608320} is an apocalyptic number.

2098835608320 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 2098835608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163664914640).

2098835608320 is an abundant number, since it is smaller than the sum of its proper divisors (6228494220960).

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

2098835608320 is a wasteful number, since it uses less digits than its factorization.

2098835608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30274 (or 30251 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2098835608320 in words is "two trillion, ninety-eight billion, eight hundred thirty-five million, six hundred eight thousand, three hundred twenty".