2005633098 has 144 divisors (see below), whose sum is σ = 5259496320. Its totient is φ = 540400896.

The previous prime is 2005633087. The next prime is 2005633099. The reversal of 2005633098 is 8903365002.

2005633098 is a `hidden beast` number, since 2 + 0 + 0 + 563 + 3 + 0 + 98 = 666.

It is not an unprimeable number, because it can be changed into a prime (2005633099) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19472115 + ... + 19472217.

It is an arithmetic number, because the mean of its divisors is an integer number (36524280).

Almost surely, 2^2005633098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005633098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629748160).

2005633098 is an abundant number, since it is smaller than the sum of its proper divisors (3253863222).

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

2005633098 is a wasteful number, since it uses less digits than its factorization.

2005633098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2005633098 is about 44784.2952160688. The cubic root of 2005633098 is about 1261.1028175439.

The spelling of 2005633098 in words is "two billion, five million, six hundred thirty-three thousand, ninety-eight".