2013264 has 120 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 576000.

The previous prime is 2013251. The next prime is 2013287. The reversal of 2013264 is 4623102.

It is a happy number.

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49084 + ... + 49124.

2^2013264 is an apocalyptic number.

2013264 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 2013264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2013264 is an abundant number, since it is smaller than the sum of its proper divisors (4486320).

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

2013264 is a wasteful number, since it uses less digits than its factorization.

2013264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2013264 is about 1418.8953449779. The cubic root of 2013264 is about 126.2700180655.

Adding to 2013264 its reverse (4623102), we get a palindrome (6636366).

The spelling of 2013264 in words is "two million, thirteen thousand, two hundred sixty-four".