2442400000 has 216 divisors, whose sum is σ = 6323220288. Its totient is φ = 940800000.

The previous prime is 2442399989. The next prime is 2442400003. The reversal of 2442400000 is 42442.

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

It is not an unprimeable number, because it can be changed into a prime (2442400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34399965 + ... + 34400035.

It is an arithmetic number, because the mean of its divisors is an integer number (29274168).

Almost surely, 2^2442400000 is an apocalyptic number.

2442400000 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 2442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161610144).

2442400000 is an abundant number, since it is smaller than the sum of its proper divisors (3880820288).

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

2442400000 is an frugal number, since it uses more digits than its factorization.

2442400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

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

The square root of 2442400000 is about 49420.6434599955. The cubic root of 2442400000 is about 1346.7043525490.

Adding to 2442400000 its reverse (42442), we get a palindrome (2442442442).

The spelling of 2442400000 in words is "two billion, four hundred forty-two million, four hundred thousand".