2198337120 has 216 divisors, whose sum is σ = 8591912784. Its totient is φ = 501401088.

The previous prime is 2198337091. The next prime is 2198337121. The reversal of 2198337120 is 217338912.

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 (2198337121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4707127 + ... + 4707593.

It is an arithmetic number, because the mean of its divisors is an integer number (39777374).

Almost surely, 2^2198337120 is an apocalyptic number.

2198337120 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 2198337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295956392).

2198337120 is an abundant number, since it is smaller than the sum of its proper divisors (6393575664).

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

2198337120 is an equidigital number, since it uses as much as digits as its factorization.

2198337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2198337120 is about 46886.4278869696. The cubic root of 2198337120 is about 1300.2636782701.

The spelling of 2198337120 in words is "two billion, one hundred ninety-eight million, three hundred thirty-seven thousand, one hundred twenty".