2014464 has 72 divisors (see below), whose sum is σ = 5576032. Its totient is φ = 645120.

The previous prime is 2014459. The next prime is 2014471. The reversal of 2014464 is 4644102.

It is a self number, because there is not a number n which added to its sum of digits gives 2014464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32994 + ... + 33054.

2^2014464 is an apocalyptic number.

2014464 is a gapful number since it is divisible by the number (24) 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 2014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788016).

2014464 is an abundant number, since it is smaller than the sum of its proper divisors (3561568).

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

2014464 is an equidigital number, since it uses as much as digits as its factorization.

2014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2014464 is about 1419.3181461533. The cubic root of 2014464 is about 126.2951007052.

Adding to 2014464 its reverse (4644102), we get a palindrome (6658566).

The spelling of 2014464 in words is "two million, fourteen thousand, four hundred sixty-four".