2442251440 has 40 divisors (see below), whose sum is σ = 5680350720. Its totient is φ = 976536576.

The previous prime is 2442251429. The next prime is 2442251447. The reversal of 2442251440 is 441522442.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2442251399 and 2442251408.

It is not an unprimeable number, because it can be changed into a prime (2442251447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343441 + ... + 350479.

It is an arithmetic number, because the mean of its divisors is an integer number (142008768).

Almost surely, 2^2442251440 is an apocalyptic number.

2442251440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442251440 is an abundant number, since it is smaller than the sum of its proper divisors (3238099280).

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

2442251440 is a wasteful number, since it uses less digits than its factorization.

2442251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11389 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 2442251440 is about 49419.1404215007. The cubic root of 2442251440 is about 1346.6770473772.

Adding to 2442251440 its reverse (441522442), we get a palindrome (2883773882).

The spelling of 2442251440 in words is "two billion, four hundred forty-two million, two hundred fifty-one thousand, four hundred forty".