2277842466816 has 576 divisors, whose sum is σ = 8136420364800. Its totient is φ = 622494056448.

The previous prime is 2277842466787. The next prime is 2277842466821. The reversal of 2277842466816 is 6186642487722.

It is a happy number.

2277842466816 is a `hidden beast` number, since 2 + 2 + 7 + 78 + 424 + 66 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2277842466816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80109690 + ... + 80138118.

It is an arithmetic number, because the mean of its divisors is an integer number (14125729800).

Almost surely, 2^{2277842466816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2277842466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068210182400).

2277842466816 is an abundant number, since it is smaller than the sum of its proper divisors (5858577897984).

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

2277842466816 is an equidigital number, since it uses as much as digits as its factorization.

2277842466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28496 (or 28464 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 2277842466816 in words is "two trillion, two hundred seventy-seven billion, eight hundred forty-two million, four hundred sixty-six thousand, eight hundred sixteen".