2198030929920 has 1040 divisors, whose sum is σ = 9191166969600. Its totient is φ = 502277013504.

The previous prime is 2198030929907. The next prime is 2198030929921. The reversal of 2198030929920 is 299290308912.

2198030929920 is a `hidden beast` number, since 21 + 9 + 8 + 0 + 309 + 299 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198030929921) 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 79 ways as a sum of consecutive naturals, for example, 568993909 + ... + 568997771.

Almost surely, 2^{2198030929920} is an apocalyptic number.

2198030929920 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 2198030929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595583484800).

2198030929920 is an abundant number, since it is smaller than the sum of its proper divisors (6993136039680).

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

2198030929920 is an frugal number, since it uses more digits than its factorization.

2198030929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 2198030929920 in words is "two trillion, one hundred ninety-eight billion, thirty million, nine hundred twenty-nine thousand, nine hundred twenty".