2264077816308 has 576 divisors, whose sum is σ = 7862701916160. Its totient is φ = 531528480000.

The previous prime is 2264077816307. The next prime is 2264077816313. The reversal of 2264077816308 is 8036187704622.

2264077816308 is a `hidden beast` number, since 2 + 2 + 6 + 407 + 78 + 163 + 0 + 8 = 666.

2264077816308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264077816303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115912503 + ... + 115932033.

It is an arithmetic number, because the mean of its divisors is an integer number (13650524160).

Almost surely, 2^{2264077816308} is an apocalyptic number.

2264077816308 is a gapful number since it is divisible by the number (28) 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 2264077816308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931350958080).

2264077816308 is an abundant number, since it is smaller than the sum of its proper divisors (5598624099852).

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

2264077816308 is a wasteful number, since it uses less digits than its factorization.

2264077816308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 19675 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2264077816308 in words is "two trillion, two hundred sixty-four billion, seventy-seven million, eight hundred sixteen thousand, three hundred eight".