2774000 has 80 divisors (see below), whose sum is σ = 7157280. Its totient is φ = 1036800.

The previous prime is 2773999. The next prime is 2774011. The reversal of 2774000 is 4772.

2774000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 37964 + ... + 38036.

It is an arithmetic number, because the mean of its divisors is an integer number (89466).

2^2774000 is an apocalyptic number.

2774000 is a gapful number since it is divisible by the number (20) 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 2774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578640).

2774000 is an abundant number, since it is smaller than the sum of its proper divisors (4383280).

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

2774000 is a wasteful number, since it uses less digits than its factorization.

2774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 2774000 is about 1665.5329477378. The cubic root of 2774000 is about 140.5083559490.

Adding to 2774000 its reverse (4772), we get a palindrome (2778772).

The spelling of 2774000 in words is "two million, seven hundred seventy-four thousand".