2306941378560 has 1792 divisors, whose sum is σ = 10255453931520. Its totient is φ = 485019353088.

The previous prime is 2306941378471. The next prime is 2306941378571. The reversal of 2306941378560 is 658731496032.

2306941378560 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 9 + 4 + 1 + 3 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×2306941378560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2306941378497 and 2306941378506.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8151736179 + ... + 8151736461.

It is an arithmetic number, because the mean of its divisors is an integer number (5722909560).

It is a 1-persistent number, because it is pandigital, but 2⋅2306941378560 = 4613882757120 is not.

Almost surely, 2^{2306941378560} is an apocalyptic number.

2306941378560 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 2306941378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127726965760).

2306941378560 is an abundant number, since it is smaller than the sum of its proper divisors (7948512552960).

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

2306941378560 is an frugal number, since it uses more digits than its factorization.

2306941378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2306941378560 in words is "two trillion, three hundred six billion, nine hundred forty-one million, three hundred seventy-eight thousand, five hundred sixty".