2041020000 has 720 divisors, whose sum is σ = 8289721440. Its totient is φ = 473088000.

The previous prime is 2041019999. The next prime is 2041020013. The reversal of 2041020000 is 201402.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 70379986 + ... + 70380014.

It is an arithmetic number, because the mean of its divisors is an integer number (11513502).

Almost surely, 2^2041020000 is an apocalyptic number.

2041020000 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 2041020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144860720).

2041020000 is an abundant number, since it is smaller than the sum of its proper divisors (6248701440).

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

2041020000 is a wasteful number, since it uses less digits than its factorization.

2041020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2041020000 is about 45177.6493412395. The cubic root of 2041020000 is about 1268.4764833807.

Adding to 2041020000 its reverse (201402), we get a palindrome (2041221402).

The spelling of 2041020000 in words is "two billion, forty-one million, twenty thousand".