2705105004 has 96 divisors (see below), whose sum is σ = 7299188736. Its totient is φ = 763776000.

The previous prime is 2705104973. The next prime is 2705105021. The reversal of 2705105004 is 4005015072.

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 31 ways as a sum of consecutive naturals, for example, 3601629 + ... + 3602379.

It is an arithmetic number, because the mean of its divisors is an integer number (76033216).

Almost surely, 2^2705105004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2705105004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649594368).

2705105004 is an abundant number, since it is smaller than the sum of its proper divisors (4594083732).

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

2705105004 is a wasteful number, since it uses less digits than its factorization.

2705105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 2705105004 is about 52010.6239531886. The cubic root of 2705105004 is about 1393.3537023545.

The spelling of 2705105004 in words is "two billion, seven hundred five million, one hundred five thousand, four".