2741205120 has 128 divisors (see below), whose sum is σ = 9251677440. Its totient is φ = 687980544.

The previous prime is 2741205097. The next prime is 2741205161. The reversal of 2741205120 is 215021472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9352 + ... + 74631.

It is an arithmetic number, because the mean of its divisors is an integer number (72278730).

Almost surely, 2^2741205120 is an apocalyptic number.

2741205120 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 2741205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625838720).

2741205120 is an abundant number, since it is smaller than the sum of its proper divisors (6510472320).

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

2741205120 is a wasteful number, since it uses less digits than its factorization.

2741205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84022 (or 84010 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2741205120 is about 52356.5193648317. The cubic root of 2741205120 is about 1399.5245188030.

Adding to 2741205120 its reverse (215021472), we get a palindrome (2956226592).

The spelling of 2741205120 in words is "two billion, seven hundred forty-one million, two hundred five thousand, one hundred twenty".