2442450890880 has 2304 divisors, whose sum is σ = 11739855778560. Its totient is φ = 451560407040.

The previous prime is 2442450890863. The next prime is 2442450890881. The reversal of 2442450890880 is 880980542442.

2442450890880 is a `hidden beast` number, since 2 + 4 + 42 + 4 + 508 + 90 + 8 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442450890881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22826643787 + ... + 22826643893.

It is an arithmetic number, because the mean of its divisors is an integer number (5095423515).

Almost surely, 2^{2442450890880} is an apocalyptic number.

2442450890880 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 2442450890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869927889280).

2442450890880 is an abundant number, since it is smaller than the sum of its proper divisors (9297404887680).

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

2442450890880 is a wasteful number, since it uses less digits than its factorization.

2442450890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 2442450890880 in words is "two trillion, four hundred forty-two billion, four hundred fifty million, eight hundred ninety thousand, eight hundred eighty".