2277648 has 30 divisors (see below), whose sum is σ = 6374654. Its totient is φ = 759168.

The previous prime is 2277647. The next prime is 2277659. The reversal of 2277648 is 8467722.

2277648 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2214144 + 63504 = 1488^2 + 252^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 2¹⁷ + 2²¹ + 7³ + 7⁴ + 6⁶ + 4² + 8 .

It is not an unprimeable number, because it can be changed into a prime (2277641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7765 + ... + 8052.

2^2277648 is an apocalyptic number.

It is an amenable number.

2277648 is an abundant number, since it is smaller than the sum of its proper divisors (4097006).

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

2277648 is a wasteful number, since it uses less digits than its factorization.

2277648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15831 (or 15822 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2277648 is about 1509.1878610697. The cubic root of 2277648 is about 131.5716139969.

It can be divided in two parts, 227 and 7648, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 2277648 in words is "two million, two hundred seventy-seven thousand, six hundred forty-eight".