2041109280000 has 1800 divisors, whose sum is σ = 8808098006400. Its totient is φ = 460339200000.

The previous prime is 2041109279921. The next prime is 2041109280017. The reversal of 2041109280000 is 829011402.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×2041109280000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 13517279925 + ... + 13517280075.

Almost surely, 2^{2041109280000} is an apocalyptic number.

2041109280000 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 2041109280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404049003200).

2041109280000 is an abundant number, since it is smaller than the sum of its proper divisors (6766988726400).

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

2041109280000 is an equidigital number, since it uses as much as digits as its factorization.

2041109280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2041109280000 in words is "two trillion, forty-one billion, one hundred nine million, two hundred eighty thousand".