2283409440 has 240 divisors, whose sum is σ = 8679059928. Its totient is φ = 562028544.

The previous prime is 2283409423. The next prime is 2283409463. The reversal of 2283409440 is 449043822.

2283409440 is a `hidden beast` number, since 228 + 340 + 94 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1740892176 + 542517264 = 41724^2 + 23292^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2283409440² = 10427917341362227200, 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 = 2283409395 and 2283409404.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 161704 + ... + 175256.

Almost surely, 2^2283409440 is an apocalyptic number.

2283409440 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 2283409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339529964).

2283409440 is an abundant number, since it is smaller than the sum of its proper divisors (6395650488).

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

2283409440 is a wasteful number, since it uses less digits than its factorization.

2283409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13593 (or 13576 counting only the distinct ones).

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

The square root of 2283409440 is about 47785.0336402518. The cubic root of 2283409440 is about 1316.8245987628.

The spelling of 2283409440 in words is "two billion, two hundred eighty-three million, four hundred nine thousand, four hundred forty".