2030198579136 has 1008 divisors, whose sum is σ = 7558207469280. Its totient is φ = 532580106240.

The previous prime is 2030198579113. The next prime is 2030198579209. The reversal of 2030198579136 is 6319758910302.

2030198579136 is a `hidden beast` number, since 2 + 0 + 30 + 1 + 9 + 8 + 579 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×2030198579136³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4822324206 + ... + 4822324626.

Almost surely, 2^{2030198579136} is an apocalyptic number.

2030198579136 is a gapful number since it is divisible by the number (26) 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 2030198579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779103734640).

2030198579136 is an abundant number, since it is smaller than the sum of its proper divisors (5528008890144).

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

2030198579136 is a wasteful number, since it uses less digits than its factorization.

2030198579136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 2030198579136 in words is "two trillion, thirty billion, one hundred ninety-eight million, five hundred seventy-nine thousand, one hundred thirty-six".