2010132000 has 144 divisors (see below), whose sum is σ = 7134086232. Its totient is φ = 536025600.

The previous prime is 2010131993. The next prime is 2010132023. The reversal of 2010132000 is 2310102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 773062416 + 1237069584 = 27804^2 + 35172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8082 + ... + 63918.

Almost surely, 2^2010132000 is an apocalyptic number.

2010132000 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 2010132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567043116).

2010132000 is an abundant number, since it is smaller than the sum of its proper divisors (5123954232).

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

2010132000 is a wasteful number, since it uses less digits than its factorization.

2010132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55868 (or 55847 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2010132000 is about 44834.4956478826. The cubic root of 2010132000 is about 1262.0450538674.

Adding to 2010132000 its reverse (2310102), we get a palindrome (2012442102).

The spelling of 2010132000 in words is "two billion, ten million, one hundred thirty-two thousand".