2740658004 has 126 divisors (see below), whose sum is σ = 8365404474. Its totient is φ = 783004320.

The previous prime is 2740657993. The next prime is 2740658033. The reversal of 2740658004 is 4008560472.

2740658004 is a `hidden beast` number, since 2 + 74 + 0 + 6 + 580 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2565625104 + 175032900 = 50652^2 + 13230^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×2740658004² = 15022412589778528032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2740658004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 133294 + ... + 152474.

It is an arithmetic number, because the mean of its divisors is an integer number (66392099).

Almost surely, 2^2740658004 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 2740658004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182702237).

2740658004 is an abundant number, since it is smaller than the sum of its proper divisors (5624746470).

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

2740658004 is a wasteful number, since it uses less digits than its factorization.

2740658004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19217 (or 19193 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2740658004 is about 52351.2941960368. The cubic root of 2740658004 is about 1399.4314024337.

The spelling of 2740658004 in words is "two billion, seven hundred forty million, six hundred fifty-eight thousand, four".