2281440 has 144 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 516096.

The previous prime is 2281429. The next prime is 2281481. The reversal of 2281440 is 441822.

2281440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23472 + ... + 23568.

It is an arithmetic number, because the mean of its divisors is an integer number (58653).

2^2281440 is an apocalyptic number.

2281440 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 2281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

2281440 is an abundant number, since it is smaller than the sum of its proper divisors (6164592).

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

2281440 is a wasteful number, since it uses less digits than its factorization.

2281440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2281440 is about 1510.4436434373. The cubic root of 2281440 is about 131.6445902918.

The spelling of 2281440 in words is "two million, two hundred eighty-one thousand, four hundred forty".