2198813760 has 672 divisors, whose sum is σ = 9386133120. Its totient is φ = 464486400.

The previous prime is 2198813753. The next prime is 2198813761. The reversal of 2198813760 is 673188912.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198813761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7824820 + ... + 7825100.

It is an arithmetic number, because the mean of its divisors is an integer number (13967460).

Almost surely, 2^2198813760 is an apocalyptic number.

2198813760 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 2198813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693066560).

2198813760 is an abundant number, since it is smaller than the sum of its proper divisors (7187319360).

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

2198813760 is a wasteful number, since it uses less digits than its factorization.

2198813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2198813760 is about 46891.5105322915. The cubic root of 2198813760 is about 1300.3576451884.

The spelling of 2198813760 in words is "two billion, one hundred ninety-eight million, eight hundred thirteen thousand, seven hundred sixty".