2414080 has 80 divisors (see below), whose sum is σ = 6187104. Its totient is φ = 901120.

The previous prime is 2414053. The next prime is 2414081. The reversal of 2414080 is 804142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58860 + ... + 58900.

2^2414080 is an apocalyptic number.

2414080 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 2414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093552).

2414080 is an abundant number, since it is smaller than the sum of its proper divisors (3773024).

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

2414080 is an equidigital number, since it uses as much as digits as its factorization.

2414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

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

The square root of 2414080 is about 1553.7309934477. The cubic root of 2414080 is about 134.1479023349.

The spelling of 2414080 in words is "two million, four hundred fourteen thousand, eighty".