2726000 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 1030400.

The previous prime is 2725997. The next prime is 2726023. The reversal of 2726000 is 6272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2726000.

It is a congruent number.

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, 57977 + ... + 58023.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2^2726000 is an apocalyptic number.

2726000 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 2726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2726000 is an abundant number, since it is smaller than the sum of its proper divisors (4237840).

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

2726000 is a wasteful number, since it uses less digits than its factorization.

2726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2726000 is about 1651.0602654052. The cubic root of 2726000 is about 139.6932057370.

The spelling of 2726000 in words is "two million, seven hundred twenty-six thousand".