2198430720000 has 1960 divisors, whose sum is σ = 8950444440960. Its totient is φ = 537477120000.

The previous prime is 2198430719999. The next prime is 2198430720001. The reversal of 2198430720000 is 270348912.

2198430720000 is a `hidden beast` number, since 2 + 19 + 8 + 430 + 7 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2198430719999) and next prime (2198430720001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198430720001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 70917119985 + ... + 70917120015.

Almost surely, 2^{2198430720000} is an apocalyptic number.

2198430720000 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 2198430720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475222220480).

2198430720000 is an abundant number, since it is smaller than the sum of its proper divisors (6752013720960).

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

2198430720000 is an frugal number, since it uses more digits than its factorization.

2198430720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2198430720000 in words is "two trillion, one hundred ninety-eight billion, four hundred thirty million, seven hundred twenty thousand".