2265000 has 80 divisors (see below), whose sum is σ = 7122720. Its totient is φ = 600000.

The previous prime is 2264959. The next prime is 2265001. The reversal of 2265000 is 5622.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2265001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14925 + ... + 15075.

It is an arithmetic number, because the mean of its divisors is an integer number (89034).

2^2265000 is an apocalyptic number.

2265000 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 2265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561360).

2265000 is an abundant number, since it is smaller than the sum of its proper divisors (4857720).

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

2265000 is a wasteful number, since it uses less digits than its factorization.

2265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2265000 is about 1504.9916943292. The cubic root of 2265000 is about 131.3276184881.

The spelling of 2265000 in words is "two million, two hundred sixty-five thousand".