2260512 has 72 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 733056.

The previous prime is 2260501. The next prime is 2260519. The reversal of 2260512 is 2150622.

2260512 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×2260512⁴ (a number of 27 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2260519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13453 + ... + 13619.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

2^2260512 is an apocalyptic number.

It is a pronic number, being equal to 1503×1504.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2260512 is an abundant number, since it is smaller than the sum of its proper divisors (4343904).

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

2260512 is a wasteful number, since it uses less digits than its factorization.

2260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

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

The square root of 2260512 is about 1503.4999168607. The cubic root of 2260512 is about 131.2408211268.

It can be divided in two parts, 2260 and 512, that added together give a palindrome (2772).

The spelling of 2260512 in words is "two million, two hundred sixty thousand, five hundred twelve".