2445761106360 has 1152 divisors, whose sum is σ = 10012162567680. Its totient is φ = 529358976000.

The previous prime is 2445761106353. The next prime is 2445761106367. The reversal of 2445761106360 is 636011675442.

2445761106360 is a `hidden beast` number, since 2 + 4 + 4 + 5 + 7 + 6 + 1 + 1 + 0 + 636 + 0 = 666.

2445761106360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2445761106353) and next prime (2445761106367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445761106367) 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, 1335750645 + ... + 1335752475.

It is an arithmetic number, because the mean of its divisors is an integer number (8691113340).

Almost surely, 2^{2445761106360} is an apocalyptic number.

2445761106360 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 2445761106360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006081283840).

2445761106360 is an abundant number, since it is smaller than the sum of its proper divisors (7566401461320).

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

2445761106360 is a wasteful number, since it uses less digits than its factorization.

2445761106360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2445761106360 in words is "two trillion, four hundred forty-five billion, seven hundred sixty-one million, one hundred six thousand, three hundred sixty".