2656080 has 240 divisors, whose sum is σ = 11142144. Its totient is φ = 552960.

The previous prime is 2656079. The next prime is 2656091. The reversal of 2656080 is 806562.

2656080 is a `hidden beast` number, since 2 + 656 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85665 + ... + 85695.

2^2656080 is an apocalyptic number.

2656080 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 2656080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

2656080 is an abundant number, since it is smaller than the sum of its proper divisors (8486064).

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

2656080 is a wasteful number, since it uses less digits than its factorization.

2656080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2656080 is about 1629.7484468469. The cubic root of 2656080 is about 138.4885018714.

The spelling of 2656080 in words is "two million, six hundred fifty-six thousand, eighty".