2726640 has 120 divisors (see below), whose sum is σ = 10484448. Its totient is φ = 622080.

The previous prime is 2726617. The next prime is 2726657. The reversal of 2726640 is 466272.

2726640 = T₃₀ + T₃₁ + ... + T₂₅₃.

2726640 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4770 + ... + 5310.

2^2726640 is an apocalyptic number.

2726640 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 2726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242224).

2726640 is an abundant number, since it is smaller than the sum of its proper divisors (7757808).

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

2726640 is a wasteful number, since it uses less digits than its factorization.

2726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2726640 is about 1651.2540688822. The cubic root of 2726640 is about 139.7041370962.

The spelling of 2726640 in words is "two million, seven hundred twenty-six thousand, six hundred forty".