2809141843200 has 864 divisors, whose sum is σ = 11575161142272. Its totient is φ = 582868992000.

The previous prime is 2809141843159. The next prime is 2809141843231. The reversal of 2809141843200 is 23481419082.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1896786460 + ... + 1896787940.

It is an arithmetic number, because the mean of its divisors is an integer number (13397177248).

Almost surely, 2^{2809141843200} is an apocalyptic number.

2809141843200 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 2809141843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787580571136).

2809141843200 is an abundant number, since it is smaller than the sum of its proper divisors (8766019299072).

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

2809141843200 is a wasteful number, since it uses less digits than its factorization.

2809141843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 2809141843200 in words is "two trillion, eight hundred nine billion, one hundred forty-one million, eight hundred forty-three thousand, two hundred".