2284309440 has 252 divisors, whose sum is σ = 9140424696. Its totient is φ = 522095616.

The previous prime is 2284309429. The next prime is 2284309453. The reversal of 2284309440 is 449034822.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×2284309440² = 10436139235346227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2284309395 and 2284309404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133027 + ... + 149213.

Almost surely, 2^2284309440 is an apocalyptic number.

2284309440 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 2284309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570212348).

2284309440 is an abundant number, since it is smaller than the sum of its proper divisors (6856115256).

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

2284309440 is a wasteful number, since it uses less digits than its factorization.

2284309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2284309440 is about 47794.4498869900. The cubic root of 2284309440 is about 1316.9975837220.

The spelling of 2284309440 in words is "two billion, two hundred eighty-four million, three hundred nine thousand, four hundred forty".