2011410000 has 150 divisors (see below), whose sum is σ = 7034506050. Its totient is φ = 536352000.

The previous prime is 2011409989. The next prime is 2011410001. The reversal of 2011410000 is 141102.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1163901456 + 847508544 = 34116^2 + 29112^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011410001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78826 + ... + 101174.

It is an arithmetic number, because the mean of its divisors is an integer number (46896707).

Almost surely, 2^2011410000 is an apocalyptic number.

2011410000 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 2011410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517253025).

2011410000 is an abundant number, since it is smaller than the sum of its proper divisors (5023096050).

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

2011410000 is a wasteful number, since it uses less digits than its factorization.

2011410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22383 (or 22359 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011410000 is about 44848.7458018616. The cubic root of 2011410000 is about 1262.3124578463.

Adding to 2011410000 its reverse (141102), we get a palindrome (2011551102).

The spelling of 2011410000 in words is "two billion, eleven million, four hundred ten thousand".