2774128 has 80 divisors (see below), whose sum is σ = 6856704. Its totient is φ = 1059840.

The previous prime is 2774117. The next prime is 2774129. The reversal of 2774128 is 8214772.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2774128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2774129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59001 + ... + 59047.

2^2774128 is an apocalyptic number.

2774128 is a gapful number since it is divisible by the number (28) 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 2774128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428352).

2774128 is an abundant number, since it is smaller than the sum of its proper divisors (4082576).

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

2774128 is a wasteful number, since it uses less digits than its factorization.

2774128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its digits is 6272, while the sum is 31.

The square root of 2774128 is about 1665.5713734332. The cubic root of 2774128 is about 140.5105170633.

The spelling of 2774128 in words is "two million, seven hundred seventy-four thousand, one hundred twenty-eight".