2442128540 has 48 divisors (see below), whose sum is σ = 5605334784. Its totient is φ = 889728000.

The previous prime is 2442128503. The next prime is 2442128543. The reversal of 2442128540 is 458212442.

It is a junction number, because it is equal to n+sod(n) for n = 2442128497 and 2442128506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442128543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105311 + ... + 126390.

It is an arithmetic number, because the mean of its divisors is an integer number (116777808).

Almost surely, 2^2442128540 is an apocalyptic number.

2442128540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442128540 is an abundant number, since it is smaller than the sum of its proper divisors (3163206244).

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

2442128540 is a wasteful number, since it uses less digits than its factorization.

2442128540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231758 (or 231756 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 2442128540 is about 49417.8969605142. The cubic root of 2442128540 is about 1346.6544576494.

The spelling of 2442128540 in words is "two billion, four hundred forty-two million, one hundred twenty-eight thousand, five hundred forty".