2041040000 has 160 divisors (see below), whose sum is σ = 5251319040. Its totient is φ = 789120000.

The previous prime is 2041039993. The next prime is 2041040003. The reversal of 2041040000 is 401402.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2041040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479589 + ... + 2480411.

It is an arithmetic number, because the mean of its divisors is an integer number (32820744).

Almost surely, 2^2041040000 is an apocalyptic number.

2041040000 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 2041040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625659520).

2041040000 is an abundant number, since it is smaller than the sum of its proper divisors (3210279040).

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

2041040000 is an frugal number, since it uses more digits than its factorization.

2041040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2041040000 is about 45177.8706890885. The cubic root of 2041040000 is about 1268.4806266435.

Adding to 2041040000 its reverse (401402), we get a palindrome (2041441402).

The spelling of 2041040000 in words is "two billion, forty-one million, forty thousand".