2268500 has 48 divisors (see below), whose sum is σ = 5350800. Its totient is φ = 835200.

The previous prime is 2268481. The next prime is 2268503. The reversal of 2268500 is 58622.

2268500 = T₂₆₉ + T₂₇₀ + ... + T₃₂₀.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 894916 + 1373584 = 946^2 + 1172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268503) 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, 6326 + ... + 6674.

It is an arithmetic number, because the mean of its divisors is an integer number (111475).

2^2268500 is an apocalyptic number.

2268500 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 2268500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675400).

2268500 is an abundant number, since it is smaller than the sum of its proper divisors (3082300).

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

2268500 is a wasteful number, since it uses less digits than its factorization.

2268500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2268500 is about 1506.1540425866. The cubic root of 2268500 is about 131.3952285118.

The spelling of 2268500 in words is "two million, two hundred sixty-eight thousand, five hundred".