2081040000 has 640 divisors, whose sum is σ = 8029929600. Its totient is φ = 473088000.

The previous prime is 2081039963. The next prime is 2081040007. The reversal of 2081040000 is 401802.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71759986 + ... + 71760014.

It is an arithmetic number, because the mean of its divisors is an integer number (12546765).

Almost surely, 2^2081040000 is an apocalyptic number.

2081040000 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 2081040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014964800).

2081040000 is an abundant number, since it is smaller than the sum of its proper divisors (5948889600).

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

2081040000 is a wasteful number, since it uses less digits than its factorization.

2081040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2081040000 is about 45618.4173333534. The cubic root of 2081040000 is about 1276.7135744668.

Adding to 2081040000 its reverse (401802), we get a palindrome (2081441802).

The spelling of 2081040000 in words is "two billion, eighty-one million, forty thousand".