2720835100000 has 144 divisors (see below), whose sum is σ = 6926259034800. Its totient is φ = 1050804160000.

The previous prime is 2720835099949. The next prime is 2720835100019. The reversal of 2720835100000 is 15380272.

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 23 ways as a sum of consecutive naturals, for example, 2430891 + ... + 3369109.

It is an arithmetic number, because the mean of its divisors is an integer number (48099021075).

Almost surely, 2^{2720835100000} is an apocalyptic number.

2720835100000 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 2720835100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463129517400).

2720835100000 is an abundant number, since it is smaller than the sum of its proper divisors (4205423934800).

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

2720835100000 is an frugal number, since it uses more digits than its factorization.

2720835100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938283 (or 938255 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 2720835100000 in words is "two trillion, seven hundred twenty billion, eight hundred thirty-five million, one hundred thousand".