2726320896 has 144 divisors (see below), whose sum is σ = 8682666720. Its totient is φ = 838840320.

The previous prime is 2726320867. The next prime is 2726320903. The reversal of 2726320896 is 6980236272.

2726320896 is a `hidden beast` number, since 2 + 7 + 2 + 632 + 0 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74686 + ... + 105026.

Almost surely, 2^2726320896 is an apocalyptic number.

2726320896 is a gapful number since it is divisible by the number (26) 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 2726320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341333360).

2726320896 is an abundant number, since it is smaller than the sum of its proper divisors (5956345824).

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

2726320896 is a wasteful number, since it uses less digits than its factorization.

2726320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30379 (or 30359 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2726320896 is about 52214.1829008173. The cubic root of 2726320896 is about 1396.9868693434.

The spelling of 2726320896 in words is "two billion, seven hundred twenty-six million, three hundred twenty thousand, eight hundred ninety-six".