2442120000 has 280 divisors, whose sum is σ = 8265054336. Its totient is φ = 635904000.

The previous prime is 2442119971. The next prime is 2442120001. The reversal of 2442120000 is 212442.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5639784 + ... + 5640216.

Almost surely, 2^2442120000 is an apocalyptic number.

2442120000 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 2442120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132527168).

2442120000 is an abundant number, since it is smaller than the sum of its proper divisors (5822934336).

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

2442120000 is an equidigital number, since it uses as much as digits as its factorization.

2442120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2442120000 is about 49417.8105544954. The cubic root of 2442120000 is about 1346.6528879201.

Adding to 2442120000 its reverse (212442), we get a palindrome (2442332442).

The spelling of 2442120000 in words is "two billion, four hundred forty-two million, one hundred twenty thousand".