2834219900000 has 144 divisors (see below), whose sum is σ = 6977640121200. Its totient is φ = 1133160000000.

The previous prime is 2834219899993. The next prime is 2834219900003. The reversal of 2834219900000 is 99124382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834219900003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269894750 + ... + 269905250.

It is an arithmetic number, because the mean of its divisors is an integer number (48455834175).

Almost surely, 2^{2834219900000} is an apocalyptic number.

2834219900000 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 2834219900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488820060600).

2834219900000 is an abundant number, since it is smaller than the sum of its proper divisors (4143420221200).

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

2834219900000 is an equidigital number, since it uses as much as digits as its factorization.

2834219900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235 (or 13207 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 2834219900000 in words is "two trillion, eight hundred thirty-four billion, two hundred nineteen million, nine hundred thousand".