2726096080 has 40 divisors (see below), whose sum is σ = 6348180744. Its totient is φ = 1088716800.

The previous prime is 2726096059. The next prime is 2726096089. The reversal of 2726096080 is 806906272.

2726096080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 984202384 + 1741893696 = 31372^2 + 41736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726096089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24700 + ... + 77860.

Almost surely, 2^2726096080 is an apocalyptic number.

2726096080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2726096080 is an abundant number, since it is smaller than the sum of its proper divisors (3622084664).

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

2726096080 is a wasteful number, since it uses less digits than its factorization.

2726096080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53815 (or 53809 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2726096080 is about 52212.0300314018. The cubic root of 2726096080 is about 1396.9484691642.

The spelling of 2726096080 in words is "two billion, seven hundred twenty-six million, ninety-six thousand, eighty".