2805834241000 has 768 divisors, whose sum is σ = 8203646730240. Its totient is φ = 879446937600.

The previous prime is 2805834240971. The next prime is 2805834241009. The reversal of 2805834241000 is 1424385082.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2805834241009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17213706919 + ... + 17213707081.

It is an arithmetic number, because the mean of its divisors is an integer number (10681831680).

Almost surely, 2^{2805834241000} is an apocalyptic number.

2805834241000 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 2805834241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101823365120).

2805834241000 is an abundant number, since it is smaller than the sum of its proper divisors (5397812489240).

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

2805834241000 is a wasteful number, since it uses less digits than its factorization.

2805834241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 2805834241000 in words is "two trillion, eight hundred five billion, eight hundred thirty-four million, two hundred forty-one thousand".