2005661088 has 240 divisors, whose sum is σ = 6520409280. Its totient is φ = 601565184.

The previous prime is 2005661087. The next prime is 2005661107. The reversal of 2005661088 is 8801665002.

It is a happy number.

2005661088 is a `hidden beast` number, since 2 + 0 + 0 + 566 + 10 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2005661087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1012483 + ... + 1014461.

It is an arithmetic number, because the mean of its divisors is an integer number (27168372).

Almost surely, 2^2005661088 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 2005661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260204640).

2005661088 is an abundant number, since it is smaller than the sum of its proper divisors (4514748192).

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

2005661088 is a wasteful number, since it uses less digits than its factorization.

2005661088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2005661088 is about 44784.6077129185. The cubic root of 2005661088 is about 1261.1086840379.

The spelling of 2005661088 in words is "two billion, five million, six hundred sixty-one thousand, eighty-eight".