2773008 has 120 divisors (see below), whose sum is σ = 9329760. Its totient is φ = 786240.

The previous prime is 2773007. The next prime is 2773019. The reversal of 2773008 is 8003772.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2773003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21103 + ... + 21233.

It is an arithmetic number, because the mean of its divisors is an integer number (77748).

2^2773008 is an apocalyptic number.

2773008 is a gapful number since it is divisible by the number (28) 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 2773008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664880).

2773008 is an abundant number, since it is smaller than the sum of its proper divisors (6556752).

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

2773008 is a wasteful number, since it uses less digits than its factorization.

2773008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2773008 is about 1665.2351185343. The cubic root of 2773008 is about 140.4916050590.

It can be divided in two parts, 27 and 73008, that multiplied together give a square (1971216 = 1404²).

The spelling of 2773008 in words is "two million, seven hundred seventy-three thousand, eight".