2656720 has 40 divisors (see below), whose sum is σ = 6740640. Its totient is φ = 965760.

The previous prime is 2656699. The next prime is 2656721. The reversal of 2656720 is 276562.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2656720³ = 56254673738233344000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656721) 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, 630 + ... + 2389.

It is an arithmetic number, because the mean of its divisors is an integer number (168516).

2^2656720 is an apocalyptic number.

2656720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2656720 is an abundant number, since it is smaller than the sum of its proper divisors (4083920).

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

2656720 is a wasteful number, since it uses less digits than its factorization.

2656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2656720 is about 1629.9447843409. The cubic root of 2656720 is about 138.4996242176.

The spelling of 2656720 in words is "two million, six hundred fifty-six thousand, seven hundred twenty".