2277125866944 has 140 divisors (see below), whose sum is σ = 6752917261728. Its totient is φ = 758726784000.

The previous prime is 2277125866933. The next prime is 2277125866993. The reversal of 2277125866944 is 4496685217722.

2277125866944 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 1 + 2 + 586 + 6 + 9 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12564169 + ... + 12744119.

Almost surely, 2^{2277125866944} is an apocalyptic number.

2277125866944 is a gapful number since it is divisible by the number (24) 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 2277125866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376458630864).

2277125866944 is an abundant number, since it is smaller than the sum of its proper divisors (4475791394784).

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

2277125866944 is a wasteful number, since it uses less digits than its factorization.

2277125866944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182416 (or 182397 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 2277125866944 in words is "two trillion, two hundred seventy-seven billion, one hundred twenty-five million, eight hundred sixty-six thousand, nine hundred forty-four".