2840473440 has 768 divisors, whose sum is σ = 12192768000. Its totient is φ = 603832320.

The previous prime is 2840473417. The next prime is 2840473511. The reversal of 2840473440 is 443740482.

It is a happy number.

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 = 2840473395 and 2840473404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35955321 + ... + 35955399.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^2840473440 is an apocalyptic number.

2840473440 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 2840473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384000).

2840473440 is an abundant number, since it is smaller than the sum of its proper divisors (9352294560).

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

2840473440 is a wasteful number, since it uses less digits than its factorization.

2840473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

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

The square root of 2840473440 is about 53296.0921644355. The cubic root of 2840473440 is about 1416.2184380047.

The spelling of 2840473440 in words is "two billion, eight hundred forty million, four hundred seventy-three thousand, four hundred forty".