2770208 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 1165056.

The previous prime is 2770199. The next prime is 2770211. The reversal of 2770208 is 8020772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18518 + ... + 18666.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

2^2770208 is an apocalyptic number.

2770208 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 2770208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2770208 is an abundant number, since it is smaller than the sum of its proper divisors (3580192).

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

2770208 is a wasteful number, since it uses less digits than its factorization.

2770208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 2770208 is about 1664.3941840802. The cubic root of 2770208 is about 140.4443027588. Note that the first 3 decimals are identical.

The spelling of 2770208 in words is "two million, seven hundred seventy thousand, two hundred eight".