2704208004 has 99 divisors (see below), whose sum is σ = 7165467127. Its totient is φ = 892978344.

The previous prime is 2704207997. The next prime is 2704208009. The reversal of 2704208004 is 4008024072.

2704208004 = T₇₀₅₆ + T₇₀₅₇ + ... + T₇₁₆₂.

The square root of 2704208004 is 52002.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2704208009) by changing a digit.

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 32 ways as a sum of consecutive naturals, for example, 25272919 + ... + 25273025.

Almost surely, 2^2704208004 is an apocalyptic number.

2704208004 is the 52002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2704208004

2704208004 is an abundant number, since it is smaller than the sum of its proper divisors (4461259123).

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

2704208004 is an frugal number, since it uses more digits than its factorization.

2704208004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The cubic root of 2704208004 is about 1393.1996755002.

The spelling of 2704208004 in words is "two billion, seven hundred four million, two hundred eight thousand, four".