2198984760 has 528 divisors, whose sum is σ = 9087589800. Its totient is φ = 476171136.

The previous prime is 2198984699. The next prime is 2198984771. The reversal of 2198984760 is 674898912.

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

It is a junction number, because it is equal to n+sod(n) for n = 2198984697 and 2198984706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 115736031 + ... + 115736049.

Almost surely, 2^2198984760 is an apocalyptic number.

2198984760 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 2198984760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543794900).

2198984760 is an abundant number, since it is smaller than the sum of its proper divisors (6888605040).

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

2198984760 is an equidigital number, since it uses as much as digits as its factorization.

2198984760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2198984760 is about 46893.3338546109. Note that the first 3 decimals coincide. The cubic root of 2198984760 is about 1300.3913535750.

The spelling of 2198984760 in words is "two billion, one hundred ninety-eight million, nine hundred eighty-four thousand, seven hundred sixty".