2014080 has 64 divisors (see below), whose sum is σ = 6426000. Its totient is φ = 536576.

The previous prime is 2014069. The next prime is 2014081. The reversal of 2014080 is 804102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1396 + ... + 2444.

2^2014080 is an apocalyptic number.

2014080 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 2014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213000).

2014080 is an abundant number, since it is smaller than the sum of its proper divisors (4411920).

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

2014080 is a wasteful number, since it uses less digits than its factorization.

2014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2014080 is about 1419.1828634817. The cubic root of 2014080 is about 126.2870753445.

Adding to 2014080 its reverse (804102), we get a palindrome (2818182).

The spelling of 2014080 in words is "two million, fourteen thousand, eighty".