2772666 has 72 divisors (see below), whose sum is σ = 7040124. Its totient is φ = 783360.

The previous prime is 2772647. The next prime is 2772697. The reversal of 2772666 is 6662772.

It can be written as a sum of positive squares in 6 ways, for example, as 893025 + 1879641 = 945^2 + 1371^2 .

Its product of digits (42336) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2772666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67606 + ... + 67646.

2^2772666 is an apocalyptic number.

2772666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520062).

2772666 is an abundant number, since it is smaller than the sum of its proper divisors (4267458).

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

2772666 is a wasteful number, since it uses less digits than its factorization.

2772666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2772666 is about 1665.1324271661. The cubic root of 2772666 is about 140.4858291285.

The spelling of 2772666 in words is "two million, seven hundred seventy-two thousand, six hundred sixty-six".