2011500 has 96 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 532800.

The previous prime is 2011483. The next prime is 2011507. The reversal of 2011500 is 51102.

It is a happy number.

It is a super-2 number, since 2×2011500² = 8092264500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2011507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13426 + ... + 13574.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

2^2011500 is an apocalyptic number.

2011500 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 2011500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2011500 is an abundant number, since it is smaller than the sum of its proper divisors (4540500).

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

2011500 is a wasteful number, since it uses less digits than its factorization.

2011500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2011500 is about 1418.2735984287. The cubic root of 2011500 is about 126.2331284843.

Adding to 2011500 its reverse (51102), we get a palindrome (2062602).

The spelling of 2011500 in words is "two million, eleven thousand, five hundred".