2442264 has 72 divisors (see below), whose sum is σ = 6950580. Its totient is φ = 714560.

The previous prime is 2442263. The next prime is 2442287. The reversal of 2442264 is 4622442.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442263) 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 17 ways as a sum of consecutive naturals, for example, 84202 + ... + 84230.

2^2442264 is an apocalyptic number.

2442264 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 2442264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475290).

2442264 is an abundant number, since it is smaller than the sum of its proper divisors (4508316).

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

2442264 is a wasteful number, since it uses less digits than its factorization.

2442264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2442264 is about 1562.7744558957. The cubic root of 2442264 is about 134.6679355935.

Multiplying 2442264 by its sum of digits (24), we get a square (58614336 = 7656²).

2442264 divided by its sum of digits (24) gives a square (101761 = 319²).

The spelling of 2442264 in words is "two million, four hundred forty-two thousand, two hundred sixty-four".