2704138680 has 192 divisors, whose sum is σ = 8493724800. Its totient is φ = 688646400.

The previous prime is 2704138627. The next prime is 2704138687. The reversal of 2704138680 is 868314072.

It is a super-3 number, since 3×2704138680³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2704138687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15106831 + ... + 15107009.

It is an arithmetic number, because the mean of its divisors is an integer number (44238150).

Almost surely, 2^2704138680 is an apocalyptic number.

2704138680 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 2704138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246862400).

2704138680 is an abundant number, since it is smaller than the sum of its proper divisors (5789586120).

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

2704138680 is a wasteful number, since it uses less digits than its factorization.

2704138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2704138680 is about 52001.3334444416. Note that the first 3 decimals coincide. The cubic root of 2704138680 is about 1393.1877702277.

The spelling of 2704138680 in words is "two billion, seven hundred four million, one hundred thirty-eight thousand, six hundred eighty".