2198477998080 has 3456 divisors, whose sum is σ = 10562607619200. Its totient is φ = 433421549568.

The previous prime is 2198477998063. The next prime is 2198477998081. The reversal of 2198477998080 is 808997748912.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198477998081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30116136924 + ... + 30116136996.

It is an arithmetic number, because the mean of its divisors is an integer number (3056310075).

Almost surely, 2^{2198477998080} is an apocalyptic number.

2198477998080 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 2198477998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281303809600).

2198477998080 is an abundant number, since it is smaller than the sum of its proper divisors (8364129621120).

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

2198477998080 is a wasteful number, since it uses less digits than its factorization.

2198477998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 2198477998080 in words is "two trillion, one hundred ninety-eight billion, four hundred seventy-seven million, nine hundred ninety-eight thousand, eighty".