2263500 has 72 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 602400.

The previous prime is 2263483. The next prime is 2263507. The reversal of 2263500 is 53622.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2263507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4249 + ... + 4751.

It is an arithmetic number, because the mean of its divisors is an integer number (99372).

2^2263500 is an apocalyptic number.

2263500 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 2263500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

2263500 is an abundant number, since it is smaller than the sum of its proper divisors (4891284).

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

2263500 is a wasteful number, since it uses less digits than its factorization.

2263500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2263500 is about 1504.4932701744. The cubic root of 2263500 is about 131.2986214418.

The spelling of 2263500 in words is "two million, two hundred sixty-three thousand, five hundred".