2769920 has 44 divisors (see below), whose sum is σ = 6656844. Its totient is φ = 1105920.

The previous prime is 2769917. The next prime is 2769937. The reversal of 2769920 is 299672.

It can be written as a sum of positive squares in 2 ways, for example, as 1048576 + 1721344 = 1024^2 + 1312^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4850 + ... + 5390.

2^2769920 is an apocalyptic number.

2769920 is a gapful number since it is divisible by the number (20) 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 2769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328422).

2769920 is an abundant number, since it is smaller than the sum of its proper divisors (3886924).

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

2769920 is an equidigital number, since it uses as much as digits as its factorization.

2769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 2769920 is about 1664.3076638651. The cubic root of 2769920 is about 140.4394355718.

The spelling of 2769920 in words is "two million, seven hundred sixty-nine thousand, nine hundred twenty".