2705541120 has 288 divisors, whose sum is σ = 9689621760. Its totient is φ = 697466880.

The previous prime is 2705541103. The next prime is 2705541131. The reversal of 2705541120 is 211455072.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856487 + ... + 2857433.

It is an arithmetic number, because the mean of its divisors is an integer number (33644520).

Almost surely, 2^2705541120 is an apocalyptic number.

2705541120 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 2705541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844810880).

2705541120 is an abundant number, since it is smaller than the sum of its proper divisors (6984080640).

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

2705541120 is a wasteful number, since it uses less digits than its factorization.

2705541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2705541120 is about 52014.8163507284. The cubic root of 2705541120 is about 1393.4285769823.

Adding to 2705541120 its reverse (211455072), we get a palindrome (2916996192).

The spelling of 2705541120 in words is "two billion, seven hundred five million, five hundred forty-one thousand, one hundred twenty".