2441142400 has 96 divisors (see below), whose sum is σ = 6159070080. Its totient is φ = 955622400.

The previous prime is 2441142391. The next prime is 2441142409. The reversal of 2441142400 is 42411442.

It is an interprime number because it is at equal distance from previous prime (2441142391) and next prime (2441142409).

It is not an unprimeable number, because it can be changed into a prime (2441142409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142285 + ... + 158515.

It is an arithmetic number, because the mean of its divisors is an integer number (64156980).

Almost surely, 2^2441142400 is an apocalyptic number.

2441142400 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 2441142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079535040).

2441142400 is an abundant number, since it is smaller than the sum of its proper divisors (3717927680).

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

2441142400 is a wasteful number, since it uses less digits than its factorization.

2441142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16302 (or 16285 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2441142400 is about 49407.9183937150. The cubic root of 2441142400 is about 1346.4731719944.

Adding to 2441142400 its reverse (42411442), we get a palindrome (2483553842).

The spelling of 2441142400 in words is "two billion, four hundred forty-one million, one hundred forty-two thousand, four hundred".