2620080 has 80 divisors (see below), whose sum is σ = 9032160. Its totient is φ = 698112.

The previous prime is 2620073. The next prime is 2620087. The reversal of 2620080 is 800262.

It is an interprime number because it is at equal distance from previous prime (2620073) and next prime (2620087).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2620087) 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, 1554 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (112902).

2^2620080 is an apocalyptic number.

2620080 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 2620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516080).

2620080 is an abundant number, since it is smaller than the sum of its proper divisors (6412080).

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

2620080 is a wasteful number, since it uses less digits than its factorization.

2620080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2620080 is about 1618.6661175178. Note that the first 3 decimals coincide. The cubic root of 2620080 is about 137.8599713826.

The spelling of 2620080 in words is "two million, six hundred twenty thousand, eighty".