2726290560 has 256 divisors, whose sum is σ = 10027987200. Its totient is φ = 617103360.

The previous prime is 2726290559. The next prime is 2726290591. The reversal of 2726290560 is 650926272.

It is a happy number.

It is a super-2 number, since 2×2726290560² = 14865320435090227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464030 + ... + 1465890.

It is an arithmetic number, because the mean of its divisors is an integer number (39171825).

Almost surely, 2^2726290560 is an apocalyptic number.

2726290560 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 2726290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013993600).

2726290560 is an abundant number, since it is smaller than the sum of its proper divisors (7301696640).

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

2726290560 is a wasteful number, since it uses less digits than its factorization.

2726290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2726290560 is about 52213.8924042251. The cubic root of 2726290560 is about 1396.9816878611.

The spelling of 2726290560 in words is "two billion, seven hundred twenty-six million, two hundred ninety thousand, five hundred sixty".