2726240 has 48 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 990720.

The previous prime is 2726237. The next prime is 2726249. The reversal of 2726240 is 426272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726249) 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, 986 + ... + 2534.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

2^2726240 is an apocalyptic number.

2726240 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 2726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515400).

2726240 is an abundant number, since it is smaller than the sum of its proper divisors (4304560).

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

2726240 is a wasteful number, since it uses less digits than its factorization.

2726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2726240 is about 1651.1329443749. The cubic root of 2726240 is about 139.6973051972.

Subtracting from 2726240 its reverse (426272), we obtain a cube (2299968 = 132³).

The spelling of 2726240 in words is "two million, seven hundred twenty-six thousand, two hundred forty".