2041160515200 has 768 divisors, whose sum is σ = 8325900144000. Its totient is φ = 485321932800.

The previous prime is 2041160515193. The next prime is 2041160515201. The reversal of 2041160515200 is 25150611402.

2041160515200 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 1 + 605 + 1 + 52 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2041160515201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27870630 + ... + 27943770.

Almost surely, 2^{2041160515200} is an apocalyptic number.

2041160515200 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 2041160515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162950072000).

2041160515200 is an abundant number, since it is smaller than the sum of its proper divisors (6284739628800).

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

2041160515200 is a wasteful number, since it uses less digits than its factorization.

2041160515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73210 (or 73187 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 2041160515200 in words is "two trillion, forty-one billion, one hundred sixty million, five hundred fifteen thousand, two hundred".