2098479132288 has 1024 divisors, whose sum is σ = 8051264409600. Its totient is φ = 522248601600.

The previous prime is 2098479132287. The next prime is 2098479132317. The reversal of 2098479132288 is 8822319748902.

2098479132288 is a `hidden beast` number, since 2 + 0 + 9 + 8 + 479 + 132 + 28 + 8 = 666.

It is a super-2 number, since 2×2098479132288² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2098479132287) by changing a digit.

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, 659690058 + ... + 659693238.

It is an arithmetic number, because the mean of its divisors is an integer number (7862562900).

Almost surely, 2^{2098479132288} is an apocalyptic number.

2098479132288 is a gapful number since it is divisible by the number (28) 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 2098479132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025632204800).

2098479132288 is an abundant number, since it is smaller than the sum of its proper divisors (5952785277312).

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

2098479132288 is a wasteful number, since it uses less digits than its factorization.

2098479132288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 2098479132288 in words is "two trillion, ninety-eight billion, four hundred seventy-nine million, one hundred thirty-two thousand, two hundred eighty-eight".