2427264 has 144 divisors (see below), whose sum is σ = 8314020. Its totient is φ = 677376.

The previous prime is 2427263. The next prime is 2427281. The reversal of 2427264 is 4627242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2427264² = 11783221051392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56427 + ... + 56469.

2^2427264 is an apocalyptic number.

2427264 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 2427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157010).

2427264 is an abundant number, since it is smaller than the sum of its proper divisors (5886756).

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

2427264 is a wasteful number, since it uses less digits than its factorization.

2427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2427264 is about 1557.9679072433. The cubic root of 2427264 is about 134.3916661499.

It can be divided in two parts, 24272 and 64, that added together give a square (24336 = 156²).

The spelling of 2427264 in words is "two million, four hundred twenty-seven thousand, two hundred sixty-four".