2777112 has 128 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 798336.

The previous prime is 2777111. The next prime is 2777113. The reversal of 2777112 is 2117772.

It is an interprime number because it is at equal distance from previous prime (2777111) and next prime (2777113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64563 + ... + 64605.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2^2777112 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 2777112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

2777112 is an abundant number, since it is smaller than the sum of its proper divisors (6093288).

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

2777112 is a wasteful number, since it uses less digits than its factorization.

2777112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 1372, while the sum is 27.

The square root of 2777112 is about 1666.4669213639. The cubic root of 2777112 is about 140.5608792117.

The spelling of 2777112 in words is "two million, seven hundred seventy-seven thousand, one hundred twelve".