2726496000 has 216 divisors, whose sum is σ = 9811764144. Its totient is φ = 726988800.

The previous prime is 2726495951. The next prime is 2726496001. The reversal of 2726496000 is 6946272.

It is a happy number.

2726496000 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 49 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726496001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283267 + ... + 292733.

It is an arithmetic number, because the mean of its divisors is an integer number (45424834).

Almost surely, 2^2726496000 is an apocalyptic number.

2726496000 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 2726496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905882072).

2726496000 is an abundant number, since it is smaller than the sum of its proper divisors (7085268144).

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

2726496000 is an equidigital number, since it uses as much as digits as its factorization.

2726496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2726496000 is about 52215.8596596858. The cubic root of 2726496000 is about 1397.0167768954.

The spelling of 2726496000 in words is "two billion, seven hundred twenty-six million, four hundred ninety-six thousand".