2282473440 has 432 divisors, whose sum is σ = 8611332912. Its totient is φ = 550158336.

The previous prime is 2282473429. The next prime is 2282473483. The reversal of 2282473440 is 443742822.

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 = 2282473395 and 2282473404.

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 71 ways as a sum of consecutive naturals, for example, 20198824 + ... + 20198936.

It is an arithmetic number, because the mean of its divisors is an integer number (19933641).

Almost surely, 2^2282473440 is an apocalyptic number.

2282473440 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 2282473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305666456).

2282473440 is an abundant number, since it is smaller than the sum of its proper divisors (6328859472).

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

2282473440 is a wasteful number, since it uses less digits than its factorization.

2282473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2282473440 is about 47775.2387749135. The cubic root of 2282473440 is about 1316.6446461805.

The spelling of 2282473440 in words is "two billion, two hundred eighty-two million, four hundred seventy-three thousand, four hundred forty".