2442454007040 has 576 divisors, whose sum is σ = 9576221760000. Its totient is φ = 586352295936.

The previous prime is 2442454007039. The next prime is 2442454007089. The reversal of 2442454007040 is 407004542442.

2442454007040 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 4 + 540 + 0 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2442454006986 and 2442454007004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13422586 + ... + 13603334.

It is an arithmetic number, because the mean of its divisors is an integer number (16625385000).

Almost surely, 2^{2442454007040} is an apocalyptic number.

2442454007040 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 2442454007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788110880000).

2442454007040 is an abundant number, since it is smaller than the sum of its proper divisors (7133767752960).

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

2442454007040 is a wasteful number, since it uses less digits than its factorization.

2442454007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180819 (or 180799 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

Adding to 2442454007040 its reverse (407004542442), we get a palindrome (2849458549482).

The spelling of 2442454007040 in words is "two trillion, four hundred forty-two billion, four hundred fifty-four million, seven thousand, forty".