2442400 has 72 divisors (see below), whose sum is σ = 6187104. Its totient is φ = 940800.

The previous prime is 2442389. The next prime is 2442403. The reversal of 2442400 is 42442.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442403) 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 11 ways as a sum of consecutive naturals, for example, 34365 + ... + 34435.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

2^2442400 is an apocalyptic number.

2442400 is a gapful number since it is divisible by the number (20) 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 2442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093552).

2442400 is an abundant number, since it is smaller than the sum of its proper divisors (3744704).

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

2442400 is a wasteful number, since it uses less digits than its factorization.

2442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2442400 is about 1562.8179676469. The cubic root of 2442400 is about 134.6704352549.

Adding to 2442400 its reverse (42442), we get a palindrome (2484842).

It can be divided in two parts, 24 and 42400, that added together give a palindrome (42424).

The spelling of 2442400 in words is "two million, four hundred forty-two thousand, four hundred".