2056080 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 505344.

The previous prime is 2056079. The next prime is 2056081. The reversal of 2056080 is 806502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2056079) and next prime (2056081).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2056081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

2^2056080 is an apocalyptic number.

2056080 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 2056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2056080 is an abundant number, since it is smaller than the sum of its proper divisors (4818480).

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

2056080 is a wasteful number, since it uses less digits than its factorization.

2056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2056080 is about 1433.9037624611. The cubic root of 2056080 is about 127.1588728239.

The spelling of 2056080 in words is "two million, fifty-six thousand, eighty".