2777838 has 48 divisors (see below), whose sum is σ = 6798720. Its totient is φ = 739152.

The previous prime is 2777837. The next prime is 2777839. The reversal of 2777838 is 8387772.

It is an interprime number because it is at equal distance from previous prime (2777837) and next prime (2777839).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2777838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47053 + ... + 47111.

It is an arithmetic number, because the mean of its divisors is an integer number (141640).

2^2777838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2777838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399360).

2777838 is an abundant number, since it is smaller than the sum of its proper divisors (4020882).

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

2777838 is a wasteful number, since it uses less digits than its factorization.

2777838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 90 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 2777838 is about 1666.6847332354. The cubic root of 2777838 is about 140.5731267441.

The spelling of 2777838 in words is "two million, seven hundred seventy-seven thousand, eight hundred thirty-eight".