2277664 has 24 divisors (see below), whose sum is σ = 4532220. Its totient is φ = 1126656.

The previous prime is 2277661. The next prime is 2277703. The reversal of 2277664 is 4667722.

It can be written as a sum of positive squares in 2 ways, for example, as 2274064 + 3600 = 1508^2 + 60^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹⁷ + 2²¹ + 7³ + 7⁴ + 6² + 6⁶ + 4 .

It is not an unprimeable number, because it can be changed into a prime (2277661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3162 + ... + 3814.

2^2277664 is an apocalyptic number.

It is an amenable number.

2277664 is a deficient number, since it is larger than the sum of its proper divisors (2254556).

2277664 is a wasteful number, since it uses less digits than its factorization.

2277664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 2277664 is about 1509.1931619246. The cubic root of 2277664 is about 131.5719220839.

The spelling of 2277664 in words is "two million, two hundred seventy-seven thousand, six hundred sixty-four".