2445166345440 has 384 divisors, whose sum is σ = 9568335651840. Its totient is φ = 511080726528.

The previous prime is 2445166345417. The next prime is 2445166345471. The reversal of 2445166345440 is 445436615442.

2445166345440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2445166345440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4412176 + ... + 4935344.

It is an arithmetic number, because the mean of its divisors is an integer number (24917540760).

Almost surely, 2^{2445166345440} is an apocalyptic number.

2445166345440 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 2445166345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784167825920).

2445166345440 is an abundant number, since it is smaller than the sum of its proper divisors (7123169306400).

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

2445166345440 is a wasteful number, since it uses less digits than its factorization.

2445166345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523314 (or 523306 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 2445166345440 in words is "two trillion, four hundred forty-five billion, one hundred sixty-six million, three hundred forty-five thousand, four hundred forty".