2011185000 has 480 divisors, whose sum is σ = 7894972800. Its totient is φ = 456960000.

The previous prime is 2011184969. The next prime is 2011185019. The reversal of 2011185000 is 5811102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8414881 + ... + 8415119.

It is an arithmetic number, because the mean of its divisors is an integer number (16447860).

Almost surely, 2^2011185000 is an apocalyptic number.

2011185000 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 2011185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947486400).

2011185000 is an abundant number, since it is smaller than the sum of its proper divisors (5883787800).

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

2011185000 is a wasteful number, since it uses less digits than its factorization.

2011185000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 2011185000 is about 44846.2373003578. The cubic root of 2011185000 is about 1262.2653878981.

Adding to 2011185000 its reverse (5811102), we get a palindrome (2016996102).

It can be divided in two parts, 20111 and 85000, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 2011185000 in words is "two billion, eleven million, one hundred eighty-five thousand".