2005049088 has 432 divisors, whose sum is σ = 7162960896. Its totient is φ = 526417920.

The previous prime is 2005049047. The next prime is 2005049099. The reversal of 2005049088 is 8809405002.

It is a super-3 number, since 3×2005049088³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19466445 + ... + 19466547.

It is an arithmetic number, because the mean of its divisors is an integer number (16580928).

Almost surely, 2^2005049088 is an apocalyptic number.

2005049088 is a gapful number since it is divisible by the number (28) 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 2005049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581480448).

2005049088 is an abundant number, since it is smaller than the sum of its proper divisors (5157911808).

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

2005049088 is a wasteful number, since it uses less digits than its factorization.

2005049088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

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

The square root of 2005049088 is about 44777.7744869037. The cubic root of 2005049088 is about 1260.9804009772.

The spelling of 2005049088 in words is "two billion, five million, forty-nine thousand, eighty-eight".