2284211040 has 96 divisors (see below), whose sum is σ = 7202442240. Its totient is φ = 608515584.

The previous prime is 2284211023. The next prime is 2284211053. The reversal of 2284211040 is 401124822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2284211040.

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 15 ways as a sum of consecutive naturals, for example, 689067 + ... + 692373.

It is an arithmetic number, because the mean of its divisors is an integer number (75025440).

Almost surely, 2^2284211040 is an apocalyptic number.

2284211040 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 2284211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601221120).

2284211040 is an abundant number, since it is smaller than the sum of its proper divisors (4918231200).

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

2284211040 is a wasteful number, since it uses less digits than its factorization.

2284211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2284211040 is about 47793.4204676753. The cubic root of 2284211040 is about 1316.9786729123.

Adding to 2284211040 its reverse (401124822), we get a palindrome (2685335862).

The spelling of 2284211040 in words is "two billion, two hundred eighty-four million, two hundred eleven thousand, forty".