2777334 has 32 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 783552.

The previous prime is 2777329. The next prime is 2777339. The reversal of 2777334 is 4337772.

2777334 = T₂₀₄ + T₂₀₅ + ... + T₂₉₂.

2777334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2777329) and next prime (2777339).

It is a junction number, because it is equal to n+sod(n) for n = 2777295 and 2777304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3367 + ... + 4109.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

2^2777334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2777334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2777334 is an abundant number, since it is smaller than the sum of its proper divisors (3650826).

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

2777334 is a wasteful number, since it uses less digits than its factorization.

2777334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844.

The product of its digits is 24696, while the sum is 33.

The square root of 2777334 is about 1666.5335280156. The cubic root of 2777334 is about 140.5646245515.

The spelling of 2777334 in words is "two million, seven hundred seventy-seven thousand, three hundred thirty-four".