2277046377216 has 288 divisors, whose sum is σ = 7420252421120. Its totient is φ = 684334780416.

The previous prime is 2277046377169. The next prime is 2277046377217. The reversal of 2277046377216 is 6127736407722.

2277046377216 is a `hidden beast` number, since 2 + 27 + 70 + 463 + 77 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2277046377217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3569145 + ... + 4158471.

Almost surely, 2^{2277046377216} is an apocalyptic number.

2277046377216 is a gapful number since it is divisible by the number (26) 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 2277046377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710126210560).

2277046377216 is an abundant number, since it is smaller than the sum of its proper divisors (5143206043904).

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

2277046377216 is a wasteful number, since it uses less digits than its factorization.

2277046377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589408 (or 589388 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 2277046377216 in words is "two trillion, two hundred seventy-seven billion, forty-six million, three hundred seventy-seven thousand, two hundred sixteen".