2770820 has 24 divisors (see below), whose sum is σ = 6266904. Its totient is φ = 1022976.

The previous prime is 2770799. The next prime is 2770829. The reversal of 2770820 is 280772.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 2709316 = 248^2 + 1646^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2770820.

It is not an unprimeable number, because it can be changed into a prime (2770829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5069 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (261121).

2^2770820 is an apocalyptic number.

2770820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2770820 is an abundant number, since it is smaller than the sum of its proper divisors (3496084).

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

2770820 is a wasteful number, since it uses less digits than its factorization.

2770820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10677 counting only the distinct ones).

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

The square root of 2770820 is about 1664.5780246056. The cubic root of 2770820 is about 140.4546444112.

The spelling of 2770820 in words is "two million, seven hundred seventy thousand, eight hundred twenty".