2198255136 has 384 divisors, whose sum is σ = 7608287232. Its totient is φ = 539136000.

The previous prime is 2198255117. The next prime is 2198255161. The reversal of 2198255136 is 6315528912.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (129600) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12144966 + ... + 12145146.

It is an arithmetic number, because the mean of its divisors is an integer number (19813248).

Almost surely, 2^2198255136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804143616).

2198255136 is an abundant number, since it is smaller than the sum of its proper divisors (5410032096).

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

2198255136 is a wasteful number, since it uses less digits than its factorization.

2198255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 2198255136 is about 46885.5535959639. The cubic root of 2198255136 is about 1300.2475142126.

The spelling of 2198255136 in words is "two billion, one hundred ninety-eight million, two hundred fifty-five thousand, one hundred thirty-six".