2705107104 has 144 divisors (see below), whose sum is σ = 9117396288. Its totient is φ = 772872192.

The previous prime is 2705107039. The next prime is 2705107109. The reversal of 2705107104 is 4017015072.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2705107104² = 14635208888222533632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2705107109) 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, 29584 + ... + 79280.

It is an arithmetic number, because the mean of its divisors is an integer number (63315252).

Almost surely, 2^2705107104 is an apocalyptic number.

2705107104 is a gapful number since it is divisible by the number (24) 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 2705107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558698144).

2705107104 is an abundant number, since it is smaller than the sum of its proper divisors (6412289184).

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

2705107104 is an equidigital number, since it uses as much as digits as its factorization.

2705107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49729 (or 49709 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 2705107104 is about 52010.6441413678. The cubic root of 2705107104 is about 1393.3540629126.

The spelling of 2705107104 in words is "two billion, seven hundred five million, one hundred seven thousand, one hundred four".