2765000 has 80 divisors (see below), whose sum is σ = 7497600. Its totient is φ = 936000.

The previous prime is 2764967. The next prime is 2765039. The reversal of 2765000 is 5672.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34961 + ... + 35039.

It is an arithmetic number, because the mean of its divisors is an integer number (93720).

2^2765000 is an apocalyptic number.

2765000 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 2765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748800).

2765000 is an abundant number, since it is smaller than the sum of its proper divisors (4732600).

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

2765000 is an equidigital number, since it uses as much as digits as its factorization.

2765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2765000 is about 1662.8289148316. The cubic root of 2765000 is about 140.3562356324.

The spelling of 2765000 in words is "two million, seven hundred sixty-five thousand".