2281520 has 60 divisors (see below), whose sum is σ = 5669280. Its totient is φ = 853632.

The previous prime is 2281493. The next prime is 2281529. The reversal of 2281520 is 251822.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2281492 and 2281501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28841 + ... + 28919.

It is an arithmetic number, because the mean of its divisors is an integer number (94488).

2^2281520 is an apocalyptic number.

2281520 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 2281520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834640).

2281520 is an abundant number, since it is smaller than the sum of its proper divisors (3387760).

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

2281520 is a wasteful number, since it uses less digits than its factorization.

2281520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2281520 is about 1510.4701254907. The cubic root of 2281520 is about 131.6461290048.

The spelling of 2281520 in words is "two million, two hundred eighty-one thousand, five hundred twenty".