2041116000 has 576 divisors, whose sum is σ = 8517809664. Its totient is φ = 415104000.

The previous prime is 2041115977. The next prime is 2041116017. The reversal of 2041116000 is 6111402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43427977 + ... + 43428023.

It is an arithmetic number, because the mean of its divisors is an integer number (14787864).

Almost surely, 2^2041116000 is an apocalyptic number.

2041116000 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 2041116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258904832).

2041116000 is an abundant number, since it is smaller than the sum of its proper divisors (6476693664).

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

2041116000 is a wasteful number, since it uses less digits than its factorization.

2041116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2041116000 is about 45178.7118010242. The cubic root of 2041116000 is about 1268.4963707954.

Adding to 2041116000 its reverse (6111402), we get a palindrome (2047227402).

The spelling of 2041116000 in words is "two billion, forty-one million, one hundred sixteen thousand".