2014480 has 60 divisors (see below), whose sum is σ = 5105700. Its totient is φ = 738816.

The previous prime is 2014471. The next prime is 2014487. The reversal of 2014480 is 844102.

2014480 = T₁₀₇ + T₁₀₈ + ... + T₂₃₆.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 1218816 = 892^2 + 1104^2 .

It is not an unprimeable number, because it can be changed into a prime (2014487) 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 11 ways as a sum of consecutive naturals, for example, 13446 + ... + 13594.

It is an arithmetic number, because the mean of its divisors is an integer number (85095).

2^2014480 is an apocalyptic number.

2014480 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 2014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552850).

2014480 is an abundant number, since it is smaller than the sum of its proper divisors (3091220).

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

2014480 is a wasteful number, since it uses less digits than its factorization.

2014480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2014480 is about 1419.3237826514. The cubic root of 2014480 is about 126.2954350731.

Adding to 2014480 its reverse (844102), we get a palindrome (2858582).

The spelling of 2014480 in words is "two million, fourteen thousand, four hundred eighty".