2421264 has 40 divisors (see below), whose sum is σ = 6349792. Its totient is φ = 794880.

The previous prime is 2421253. The next prime is 2421277. The reversal of 2421264 is 4621242.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2421264.

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, 3159 + ... + 3849.

2^2421264 is an apocalyptic number.

2421264 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 2421264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174896).

2421264 is an abundant number, since it is smaller than the sum of its proper divisors (3928528).

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

2421264 is a wasteful number, since it uses less digits than its factorization.

2421264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

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

The square root of 2421264 is about 1556.0411305618. The cubic root of 2421264 is about 134.2808396773.

The spelling of 2421264 in words is "two million, four hundred twenty-one thousand, two hundred sixty-four".