2141012000 has 96 divisors (see below), whose sum is σ = 5442156720. Its totient is φ = 826828800.

The previous prime is 2141011997. The next prime is 2141012047. The reversal of 2141012000 is 2101412.

It can be written as a sum of positive squares in 8 ways, for example, as 207475216 + 1933536784 = 14404^2 + 43972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106772 + ... + 125228.

Almost surely, 2^2141012000 is an apocalyptic number.

2141012000 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 2141012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721078360).

2141012000 is an abundant number, since it is smaller than the sum of its proper divisors (3301144720).

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

2141012000 is a wasteful number, since it uses less digits than its factorization.

2141012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18511 (or 18493 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2141012000 is about 46271.0708758723. The cubic root of 2141012000 is about 1288.8618448987.

Adding to 2141012000 its reverse (2101412), we get a palindrome (2143113412).

The spelling of 2141012000 in words is "two billion, one hundred forty-one million, twelve thousand".