2265516 has 48 divisors (see below), whose sum is σ = 6410880. Its totient is φ = 686160.

The previous prime is 2265499. The next prime is 2265517. The reversal of 2265516 is 6155622.

2265516 is a `hidden beast` number, since 2 + 2 + 655 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2265516.

It is not an unprimeable number, because it can be changed into a prime (2265517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235 + ... + 2141.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

2^2265516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205440).

2265516 is an abundant number, since it is smaller than the sum of its proper divisors (4145364).

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

2265516 is a wasteful number, since it uses less digits than its factorization.

2265516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1923 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2265516 is about 1505.1631140843. The cubic root of 2265516 is about 131.3375905125.

The spelling of 2265516 in words is "two million, two hundred sixty-five thousand, five hundred sixteen".