2265120 has 216 divisors, whose sum is σ = 9149868. Its totient is φ = 506880.

The previous prime is 2265101. The next prime is 2265143. The reversal of 2265120 is 215622.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 156816 = 1452^2 + 396^2 .

It is a super-2 number, since 2×2265120² = 10261537228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2265093 and 2265102.

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 35 ways as a sum of consecutive naturals, for example, 174234 + ... + 174246.

2^2265120 is an apocalyptic number.

2265120 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 2265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574934).

2265120 is an abundant number, since it is smaller than the sum of its proper divisors (6884748).

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

2265120 is a wasteful number, since it uses less digits than its factorization.

2265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2265120 is about 1505.0315611309. The cubic root of 2265120 is about 131.3299376987.

The spelling of 2265120 in words is "two million, two hundred sixty-five thousand, one hundred twenty".