2704726080 has 336 divisors, whose sum is σ = 11028151680. Its totient is φ = 618098688.

The previous prime is 2704726049. The next prime is 2704726091. The reversal of 2704726080 is 806274072.

2704726080 is a `hidden beast` number, since 2 + 7 + 0 + 47 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541836 + ... + 546804.

It is an arithmetic number, because the mean of its divisors is an integer number (32821880).

Almost surely, 2^2704726080 is an apocalyptic number.

2704726080 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 2704726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514075840).

2704726080 is an abundant number, since it is smaller than the sum of its proper divisors (8323425600).

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

2704726080 is an equidigital number, since it uses as much as digits as its factorization.

2704726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2704726080 is about 52006.9810698525. The cubic root of 2704726080 is about 1393.2886402082.

The spelling of 2704726080 in words is "two billion, seven hundred four million, seven hundred twenty-six thousand, eighty".