2775456 has 72 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 882816.

The previous prime is 2775449. The next prime is 2775457. The reversal of 2775456 is 6545772.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2775456.

It is not an unprimeable number, because it can be changed into a prime (2775457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6415 + ... + 6833.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

2^2775456 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 2775456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2775456 is an abundant number, since it is smaller than the sum of its proper divisors (5480064).

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

2775456 is a wasteful number, since it uses less digits than its factorization.

2775456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 2775456 is about 1665.9699877249. The cubic root of 2775456 is about 140.5329347022.

The spelling of 2775456 in words is "two million, seven hundred seventy-five thousand, four hundred fifty-six".